Introduction to Toric Varieties 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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William Fulton 作者

Princeton University Press

譯者

1993-7-12 出版日期

180 頁數

USD 57.50 價格

Paperback

叢書系列

9780691000497 圖書編碼

Introduction to Toric Varieties 在線電子書圖書標籤: 數學代數幾何幾何 Mathematics Algebraic_Geometry algebraic-geometry Geometry 計算機科學

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發表於2024-06-01

Introduction to Toric Varieties 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Introduction to Toric Varieties 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Introduction to Toric Varieties 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Introduction to Toric Varieties 在線電子書著者簡介

Introduction to Toric Varieties 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Introduction to Toric Varieties 在線電子書圖書描述

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic varieties, they provide a remarkably useful testing ground for general theories. The aim of this mini-course is to develop the foundations of the study of toric varieties, with examples, and describe some of these relations and applications. The text concludes with Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Although some general theorems are quoted without proof, the concrete interpretations via simplicial geometry should make the text accessible to beginners in algebraic geometry.

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