Algebraic geometry

D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory.

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

This book is an elementary introduction to some ideas and techniques that have revolutionized enumerative geometry: stable maps and quantum cohomology.

This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of ?

A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject.

This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the reader only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed.

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians.

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

A systematic exposition of the basics of period domains.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This book is essential reading for anyone interested in low-dimensional topology.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

A volume of papers describing new methods in algebraic geometry.

This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry.

This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry.

A lucid and concise account of the classification of algebraic surfaces.

Lecture notes for graduates or researchers wishing to enter this modern field of research.

This book surveys progress in the domains described in Grothendieck''s seminal manuscript ''Esquisse d''un Programme''.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Spencer Bloch''s landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments.

This highly regarded book is back in print and now updated to reflect recent advances in the field.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.

A collection of articles presenting the state of the art in the topic of modular forms.

Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

This 2003 book investigates interplay between algebra and geometry.

Self-contained, richly illustrated account of modern differential geometry applied to integral geometry.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses.

Recent Progress of Algebraic Geometry in Japan

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days.

This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers.

While we were busy putting together the present collection of articles celebrating the twentieth birthday of our journal, Discrete & Computational Geometry, and, in a way, of the ?

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book.

Algorithms in algebraic geometry go hand in hand with software packages that implement them.

This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S.

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric compuation.

This book provides a modern treatment of Lie's geometry of spheres, its applications and the study of Euclidean space.

A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives.

This book is an exposition of the theoretical foundations of hyperbolic manifolds.

Conics and Cubics is an accessible introduction to algebraic curves.

The Advanced Encryption Standard (AES) is the successor to the Data Encryption Standard, and is potentially the world's most important block cipher (a method for encrypting text).