Algebraic geometry

Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space.

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

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.

The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic.

Commutative Ring Theory emerged as a distinct field of research in math- ematics only at the beginning of the twentieth century.

Algebraic curves are the graphs of polynomial equations in two vari- 3 ables, such as y3 + 5xy2 = x + 2xy.

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988.

We wrote this book to introduce undergraduates to some interesting ideas in algebraic geometry and commutative algebra.

The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience.

The present volume is the culmination often years' work separately and joint- ly.

In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon- ical p-adic counterpart of several variables.

The theory of hyperbolic groups has its starting point in a fundamental paper by M.

This volume contains the original lecture notes presented by A.

This is a book of "e;impressions"e; of a journey through the theory of com- plex algebraic curves.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory.

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes.

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.

"e;Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads"e; contains theorems which are of particular value for the solution of geometrical problems.

Originally published in 1985, this classic textbook is an English translation of Einfuhrung in die kommutative Algebra und algebraische Geometrie.

This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra.

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject.

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets.

Regenerative gas turbines are attractive alternatives to diesel engines and spark- ignition engines for automobiles and to diesel engines and combined-cycle en- gines for power generation.

This volume is an outgrowth of the research project "e;The Inverse Ga- lois Problem and its Application to Number Theory"e; which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for Scientific Research (B) (1) No.

1.

The representation theory of Lie groups plays a central role in both clas- sical and recent developments in many parts of mathematics and physics.

The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades.

This generalization of geometry is bound to have wide- spread repercussions for mathematics as well as physics.

This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997.

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry.

It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century.

Real analytic sets in Euclidean space (Le.

This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University.

"e;Singular Loci of Schubert Varieties"e; is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics.

In the fall of 1992 I was invited by Professor Changho Keem to visit Seoul National University and give a series of talks.

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role.

This book is based on courses given at Columbia University on vector bun- dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald- son invariants.

A complex torus is a connected compact complex Lie group.

This is an introduction to diophantine geometry at the advanced graduate level.

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint.

Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems.

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "e;the theory of elliptic curves is rich, varied, and amazingly vast,"e; and as a consequence, "e;many important topics had to be omitted.

This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics.

The original edition of this book has been out of print for some years.