An Algebraic Introduction to Complex Projective Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Peskine, Christian 作者

译者

2009-4 出版日期

244 页数

$ 66.67 价格

丛书系列

9780521108478 图书编码

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发表于2024-11-25

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An Algebraic Introduction to Complex Projective Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

An Algebraic Introduction to Complex Projective Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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An Algebraic Introduction to Complex Projective Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

An Algebraic Introduction to Complex Projective Geometry 在线电子书图书描述

In this introduction to commutative algebra, the author leads the beginning student through the essential ideas, without getting embroiled in technicalities. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory. In the first part, the general theory of Noetherian rings and modules is developed. A certain amount of homological algebra is included, and rings and modules of fractions are emphasised, as preparation for working with sheaves. In the second part, the central objects are polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalisation lemma and Hilbert's Nullstellensatz, affine complex schemes and their morphisms are introduced; Zariski's main theorem and Chevalley's semi-continuity theorem are then proved. Finally, a detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.

An Algebraic Introduction to Complex Projective Geometry 在线电子书下载 mobi epub pdf txt 在线电子书下载

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