The F-Signature of Toric Varieties.

F-signature;Algebraic Geometry;Commutative Algebra;Toric Varieties;Mathematics;Science;Mathematics

Von Korff, Michael RichardZhang, Wenliang ;

University of Michigan

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

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/93995/vonkorff_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 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.