This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this...
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic ge...
The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties. These compactifications have applications to diophantine problems and, of course, are also interesting in their own right. Degenerations of abelian varieties are given by maps G - S with S an irre ducible scheme and G a group variety whose generic fibre is an abelian variety. One would like to classify such objects, which, however, is a hopeless task in this generality. But for more specialized families we can obtain...
The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spac...
This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur faces. The book represents a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research.
This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four...
A monograph that deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configurations in nonlinear elasticity or for liquid crystals. It treats the topics in an elementary way, illustrating results with simple examples.
A monograph that deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs,...
Non-scalar variational problems appear in different fields. In geometry, for in- stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in physics, for example in the classical theory of a-models. Non linear elasticity is another example in continuum mechanics, while Oseen-Frank theory of liquid crystals and Ginzburg-Landau theory of superconductivity require to treat variational problems in order to model quite complicated phenomena. Typically one is interested in finding energy minimizing representatives in...
Non-scalar variational problems appear in different fields. In geometry, for in- stance, we encounter the basic problems of harmonic maps between Riem...
This book may be regarded as consisting of two parts. In Chapters I-IV we pre- sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti- mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning...
This book may be regarded as consisting of two parts. In Chapters I-IV we pre- sent what we regard as essential topics in an introduction to determini...
Hyperthermia has been found to be of great benefit in combination with radiation therapy or chemotherapy in the management of patients with difficult and com plicated tumor problems. It has been demonstrated to increase the efficacy, of ionising radiation when used locally but also has been of help in combination with systemic chemotherapy where hyperthermia is carried out to the total body. Problems remain with regard to maximizing the effects of hyperthermia as in fluenced by blood flow, heat loss, etc. The present volume defines the current knowledge relative to hyperthermia with radiation...
Hyperthermia has been found to be of great benefit in combination with radiation therapy or chemotherapy in the management of patients with difficult ...
In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits.
The book aims to provide a global perspective of this theory and make it easier for the reader to digest the growing literature on this subject. This is not the first book on the subject of dynamical systems, but there are distinct aspects which together make this book unique.
Firstly, this book treats mostly continuous time dynamical systems, instead of its discrete counterpart,...
In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flow...
Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is on the geometry of Hilbert modular surfaces, both geometric and arithmetic aspects are treated. An abundance of examples - in fact a whole chapter - completes this competent presentation of the subject. This Ergebnisbericht will soon become an indispensible tool for graduate students and researchers in this field.
Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties. Though the main emphasis of this book is...
Seit dem Erscheinen des berfihmten Ergebnisberichts von E. HOPF 9] (1937) ist eine umfangreiche Literatur fiber ergodentheoretische Fragen entstanden. Die vorliegende Arbeit ist ein Versuch, in diese Literatur ein zuffihren und die wesentlichsten Ergebnisse geschlossen darzustellen. Zusammenfassende Darstellungen einzelner Fragenkreise sind bereits frfiher in den Arbeiten von DUNFORD-SCHWARTZ 1], HALMOS 9], to], KAKUTANI 11] und OXTOBY 3], 4] gegeben worden. Ichhabe michstark auf sie gestfitzt. Als Einffihrung und Uberblick ist das reizvolle Bfichlein von HALMOS to] sehr zu empfehlen....
Seit dem Erscheinen des berfihmten Ergebnisberichts von E. HOPF 9] (1937) ist eine umfangreiche Literatur fiber ergodentheoretische Fragen entstanden...
