Toric Varieties 2024 pdf epub mobi 電子書下載

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Toric Varieties pdf epub mobi 著者簡介

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

Toric Varieties pdf epub mobi 圖書描述

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 電子書下載

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發表於2024-06-18

Toric Varieties 2024 pdf epub mobi 電子書下載

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Toric Varieties pdf epub mobi 讀後感

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考慮一些單項式生成的代數（在k[x_i,x_i^{-1}]裏），再做適當粘閤得到代數簇，希望在上麵推廣射影空間的一些好性質（例如Picard群、canonical divisor），便自然引齣瞭toric varieties。值得關心的原因有很多，比如它們是spherical varieties的一大類例子。它們足夠特殊，自然...

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