Toric Varieties 2024 pdf epub mobi 电子书

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Toric Varieties 2024 pdf epub mobi 电子书著者简介

David A. Cox: Amherst College, MA,

John B. Little: College of the Holy Cross, Worcester, MA,

Henry K. Schenck: University of Illinois at Urbana-Champaign, Urbana, IL

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发表于2024-12-20

Toric Varieties 2024 pdf epub mobi 电子书

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考虑一些单项式生成的代数（在k[x_i,x_i^{-1}]里），再做适当粘合得到代数簇，希望在上面推广射影空间的一些好性质（例如Picard群、canonical divisor），便自然引出了toric varieties。值得关心的原因有很多，比如它们是spherical varieties的一大类例子。它们足够特殊，自然...

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出版者:American Mathematical Society

作者:David A. Cox

出品人:

页数:841

译者:

出版时间:2011

价格:USD 95.00

装帧:Hardcover

isbn号码:9780821848197

丛书系列:Graduate Studies in Mathematics

图书标签: 数学 Toric 代数几何代数几何7 algebraic_geometry Varieties 【教材】 Math

Toric Varieties 2024 pdf epub mobi 电子书图书描述

Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry.

Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.

Toric Varieties 2024 pdf epub mobi 电子书

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