Algebraic geometry

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

Approach your problems from the right end It isn't that they can't see the solution.

This book is an introduction to singularities for graduate students and researchers.

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

This book concerns the question of how the solution of asystem of ODE's varies when the differential equationvaries.

This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory.

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices.

The geometrical theory of nonlinear differential equations originates from classical works by S.

Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology.

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise.

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp.

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus.

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras.

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

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

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics.

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

From the reviews:"e;Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement.

The concept of moduli goes back to B.

A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra.

This is the fifth proceedings volume published under the Women in Numbers umbrella.

Theta functions were studied extensively by Ramanujan.

This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geometry, Number Theory, and Computation.

This thesis proposes a new perspective on scattering amplitudes in quantum field theories.

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation.

This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend.

This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century.

Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph.

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including ?

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics.

A self-contained exposition of local class field theory for students in advanced algebra.

Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.

This volume contains the original lecture notes presented by A.

This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

This textbook offers a thorough, modern introduction into commutative algebra.

The International Conference "e;Algebraic Geometry and Analytic Geometry, Tokyo 1990"e; was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co.

Vladimir Arnold was one of the great mathematical scientists of our time.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.