This is the first of three volumes on algebraic geometry. Most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them. Ueno's book provides an introduction to the theory, which should overcome any such impediment to learning this rich subject.
This is the first of three volumes on algebraic geometry. Most algebraic geometers are well-versed in the language of schemes, but many newcomers are ...
The word moduli in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters.
The word moduli in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857...
Discusses the theory of trigonometric and elliptic functions. This book includes subjects such as power series expansions, addition and multiple-angle formulas, and arithmetic-geometric means. It describes various aspects of the Poncelet Closure Theorem.
Discusses the theory of trigonometric and elliptic functions. This book includes subjects such as power series expansions, addition and multiple-angle...
This is a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor.
This is a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and inclu...
Algebraic geometry plays an important role in several branches of science and technology. This book discusses dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. It also presents the theory of algebraic curves and their Jacobians.
Algebraic geometry plays an important role in several branches of science and technology. This book discusses dimension theory, flat and proper morphi...
This book will bring the beauty and fun of learning mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures that illustrate the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the Poincare-Hopf theorem on critical points of vector fields on surfaces and the Gauss-Bonnet theorem on the relation between curvature and topology (the Euler characteristics). The second chapter addresses various aspects of the concept of dimension, including the...
This book will bring the beauty and fun of learning mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. In...
