Introduction to Algebraic Geometry
著者
書誌事項
Introduction to Algebraic Geometry
Birkhäuser, 2021
- :pbk.
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注記
Includes bibliography and index
内容説明・目次
内容説明
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.
目次
Preface.- Introduction.- Beginning concepts.- Schemes.- Properties of schemes.- Sheaves of modules.- Introduction to Cohomology.- Cohomology in algebraic geometry.- Exercises.
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