Introduction to Algebraic Geometry
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Introduction to Algebraic Geometry

SKU: 9780486839806

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Full Title

Introduction to Algebraic Geometry
Author(s)

Serge Lang
Edition
ISBN

9780486839806, 9780486834221
Publisher

Dover Publications
Format

PDF and EPUB

Description

Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.

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Introduction to Algebraic Geometry
-58%
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Introduction to Algebraic Geometry

SKU: 9783030626440

Original price was: $59.99.Current price is: $24.99.

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Additional information

Full Title

Introduction to Algebraic Geometry
Author(s)

Igor Kriz, Sophie Kriz
Edition
ISBN

9783030626440, 9783030626433
Publisher

Birkhäuser
Format

PDF and EPUB

Description

The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained.  The text approaches foundations of algebraic geometry in a complete and self-contained way, also covering the underlying algebra. The last two chapters include a comprehensive treatment of cohomology and discuss some of its applications in algebraic geometry.

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