The Red Book of Varieties and Schemes

Includes the Michigan Lectures (1974) on Curves and their Jacobians

Author: David Mumford

Publisher: Springer

ISBN:

Category: Mathematics

Page: 314

View: 208

Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

Using the Mathematics Literature

Author: Kristine K. Fowler

Publisher: CRC Press

ISBN:

Category: Language Arts & Disciplines

Page: 475

View: 350

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

Algebraic Geometry over the Complex Numbers

Author: Donu Arapura

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 329

View: 956

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris

Author: Enrico Arbarello

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 963

View: 644

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.

Separable Algebras

Author: Timothy J. Ford

Publisher: American Mathematical Soc.

ISBN:

Category: Associative rings

Page: 637

View: 767

This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.

Algebraic Geometry

A Problem Solving Approach

Author: Thomas A. Garrity

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 335

View: 121

Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex

Geometry & Topology

Author:

Publisher:

ISBN:

Category: Geometry

Page:

View: 387

Fully refereed international journal dealing with all aspects of geometry and topology and their applications.

Books in Print

Author:

Publisher:

ISBN:

Category: American literature

Page:

View: 111

Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.