Formulas of F-thresholds and F-jumping coefficients on toric rings

Kodai Mathematical Journal

Daisuke Hirose¹ 

[1] Department of Mathematics Hokkaido University

关键词: De Sitter space;    complete spacelike hypersurfaces;    constant scalar curvature;   

DOI  :  10.2996/kmj/1245982906

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(10)Mustaţă, Takagi and Watanabe define F-thresholds, which are invariants of a pair of ideals in a ring of characteristic p > 0. In their paper, it is proved that F-thresholds are equal to jumping numbers of test ideals on regular local rings. In this note, we give formulas of F-thresholds and F-jumping coefficients on toric rings. By these formulas, we prove that there exists an inequality between F-jumping coefficients and F-thresholds. In particular, we observe a difference between F-pure thresholds and F-thresholds on certain rings. As applications, we give a characterization of regularity for toric rings defined by simplicial cones, and we prove the rationality of F-thresholds on certain rings.

【 授权许可】

Unknown