The F-Signature of Toric Varieties.

[摘要] In this thesis, we express the $F$-signature of the coordinate ring of an affine toric variety as the volume of a polytope, generalizing a formula of Watanabe and Yoshida. We introduce the notion of the $F$-signature function for divisors on a normal projective variety and show that this function is piecewise rational on the big cone of a projective toric variety.

[发布机构] University of Michigan

[效力级别] Algebraic Geometry

[关键词] F-signature;Algebraic Geometry;Commutative Algebra;Toric Varieties;Mathematics;Science;Mathematics