English

Dual F-signature

Commutative Algebra 2013-07-02 v2 Algebraic Geometry

Abstract

We define the dual F-signature of modules, which is equivalent to the F-signature if the module is the base ring. By using this invariant, We give characterizations of regular, F-regular, F-rational, and Gorenstein singularities.

Keywords

Cite

@article{arxiv.1301.2381,
  title  = {Dual F-signature},
  author = {Akiyoshi Sannai},
  journal= {arXiv preprint arXiv:1301.2381},
  year   = {2013}
}

Comments

Typos corrected and other minor changes. To appear in International Mathematics Research Notices

R2 v1 2026-06-21T23:07:40.623Z