Combinatorics and Quotients of Toric Varieties

Details Combinatorics and Quotients of Toric Varieties Combinatorics and Quotients of Toric Varieties

2000-04-27

arxiv.org/abs/math/0004171v1

Mathematics

Algebraic Geometry

Scientific paper

This paper studies two related subjects. One is some combinatorics arising from linear projections of polytopes and fans of cones. The other is quotient varieties of toric varieties. The relation is that projections of polytopes are related to quotients of projective toric varieties and projection of fans are related to quotients of general toric varieties. Despite its relation to geometry the first part is purely combinatorial and should be of interest in its own right.

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