Introduction to Toric Varieties 在线电子书 图书标签: 数学 代数几何 几何 Mathematics Algebraic_Geometry algebraic-geometry Geometry 计算机科学
发表于2024-11-21
Introduction to Toric Varieties 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
印刷风格太古老了
评分印刷风格太古老了
评分简练,跟作者其它的书一样不好读;不过在toric variety入门书中还是最好的
评分简练,跟作者其它的书一样不好读;不过在toric variety入门书中还是最好的
评分简练,跟作者其它的书一样不好读;不过在toric variety入门书中还是最好的
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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Introduction to Toric Varieties 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024