Algebraic geometry

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.

Algebraic Cryptanalysis bridges the gap between a course in cryptography, and being able to read the cryptanalytic literature.

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.

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

Conics and Cubics is an accessible introduction to algebraic curves.

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them?

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry.

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics.

Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems.

This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms.

He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge- braic geometry as special cases.

The legacy of Galois was the beginning of Galois theory as well as group theory.

The aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families.

to introduce these techniques and additional background is provided in appendices.

This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University.

Oscar Zariski's work in mathematics permanently altered the foundations of algebraic geometry.

This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry.

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research.