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97 Algebraic Curves Over Finite Fields
ISBN: 9780521459013 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Among the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri's proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa's theory of error-correcting codes constructed from linear systems on algebraic curves; there is also a new proof of the...
In this tract, Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the t...
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cena:
275,42 |
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Methods of Algebraic Geometry: Volume 3
ISBN: 9780521467759 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods, such as valuation theory.
In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods...
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cena:
335,74 |
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Methods of Algebraic Geometry: Volume 1
ISBN: 9780521469005 / Angielski / Miękka / 452 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasised throughout.
This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is concerned with the definitions and basic properties of projective space in n... This work provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental c...
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cena:
423,90 |
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Methods of Algebraic Geometry: Volume 2
ISBN: 9780521469012 / Angielski / Miękka / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of these methods to some of the more important varieties that occur in projective geometry.
Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of th...
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cena:
275,42 |
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Lectures on Arakelov Geometry
ISBN: 9780521477093 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and Soule, extending Arakelov geometry to higher dimensions. It includes a proof of Serre's conjecture on intersection multiplicities and an arithmetic Riemann-Roch theorem. To aid number theorists, background...
Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analy...
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cena:
247,58 |
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Lectures on Vector Bundles
ISBN: 9780521481823 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic curves. The author also discusses the construction and elementary properties of the moduli spaces of stable bundles. In particular Le Potier constructs HilbertSHGrothendieck schemes of vector bundles, and treats Mumford's geometric invariant theory. The second part centers on the structure of the moduli space of semistable sheaves on the projective plane. The author sketches existence conditions for sheaves of given rank, and Chern class and...
This work consists of two sections on the moduli spaces of vector bundles. The first part tackles the classification of vector bundles on algebraic cu...
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cena:
674,46 |
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Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
ISBN: 9780521483704 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not...
The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of t...
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cena:
345,02 |
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Complex Algebraic Surfaces
ISBN: 9780521495103 / Angielski / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The...
The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active...
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cena:
600,21 |
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Arithmetic of Diagonal Hypersurfaces Over Finite Fields
ISBN: 9780521498340 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to researchers in number theory and algebraic geometry. This book deals with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help nonspecialists gain...
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures in this area are of great interest to rese...
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cena:
229,02 |
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Complex Algebraic Surfaces
ISBN: 9780521498425 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The...
The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active...
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cena:
196,54 |
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Abelian Functions
ISBN: 9780521498777 / Angielski / Miękka / 724 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincare, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century the methods and ideas of topology, commutative algebra and Grothendieck's schemes enriched it and seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry. This classic book, written in 1897, covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and...
Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincare, Clebsch, Jacobi and other outstanding math...
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cena:
423,90 |
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Vector Bundles in Algebraic Geometry
ISBN: 9780521498784 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Successive waves of migrant concepts, largely from mathematical physics, have stimulated the study of vector bundles over algebraic varieties in the past few years. But the subject has retained its roots in old questions concerning subvarieties of projective space. The 1993 Durham Symposium on vector bundles in algebraic geometry brought together some of the leading researchers in the field to further explore these interactions. This book is a collection of survey articles by the main speakers at the Symposium and presents to the mathematical world an overview of the key areas of research...
Successive waves of migrant concepts, largely from mathematical physics, have stimulated the study of vector bundles over algebraic varieties in the p...
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cena:
298,62 |
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Computational Algebraic Geometry
ISBN: 9780521536509 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings ...
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cena:
177,98 |
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Frobenius Algebras and 2D Topological Quantum Field Theories
ISBN: 9780521540315 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into a more general pattern. Throughout the text emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. Includes numerous exercises and examples.
Describing a striking connection between topology and algebra, rather than only proving the theorem, this study demonstrates how the result fits into ...
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cena:
270,77 |
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Spinning Tops: A Course on Integrable Systems
ISBN: 9780521561297 / Angielski / Twarda / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, while in appendices the author describes general, abstract...
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies prov...
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cena:
451,73 |
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Current Topics in Complex Algebraic Geometry
ISBN: 9780521562447 / Angielski / Twarda / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume collects a series of survey articles on complex algebraic geometry, which in the early 1990s was undergoing a major change. Algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. This book gives a good idea of the intellectual content of the change of direction and branching out witnessed by algebraic geometry in the past few years.
This volume collects a series of survey articles on complex algebraic geometry, which in the early 1990s was undergoing a major change. Algebraic geom...
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cena:
539,90 |
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Algebraic Groups and Lie Groups
ISBN: 9780521585323 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is a unique and comprehensive collection of works by some of the world's leading researchers. Papers on algebraic geometry, algebraic groups, and Lie groups are woven together to form a connection between the study of symmetry and certain algebraic structures. This connection reflects the interests of R. W. Richardson who studied the links between representation theory and the structure and geometry of algebraic groups. In particular, the papers address Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert...
This volume is a unique and comprehensive collection of works by some of the world's leading researchers. Papers on algebraic geometry, algebraic grou...
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cena:
335,74 |
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Geometric Galois Actions: Around Grothendieck's Esquisse D'Un Programme
ISBN: 9780521596428 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. This work, written fourteen years after his retirement from public life in mathematics, includes the closely related letter to Gerd Faltings, published for the first time in this volume. Together these documents describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves. The book is written in an artistic and informal style. It contains...
The first of two volumes on anabelian algebraic geometry, this book contains the famous manuscript "Esquisse d'un Programme" (Sketch of a Program) by ...
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cena:
433,18 |
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Birational Geometry of Algebraic Varieties
ISBN: 9780521632775 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the first comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate...
One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be gen...
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cena:
535,26 |
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Explicit Birational Geometry of 3-Folds
ISBN: 9780521636414 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This integrated suite of papers centers around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper by Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds. These contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted...
One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques...
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cena:
368,21 |
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