Hodge ideals and minimal exponents of ideals
Algebraic Geometry
2019-12-18 v1
Abstract
We define and study Hodge ideals associated to a coherent ideal sheaf J on a smooth complex variety, via algebraic constructions based on the already existing concept of Hodge ideals associated to Q-divisors. We also define the generic minimal exponent of J, extending the standard invariant for hypersurfaces. We relate it to Hodge ideals, and show that it is a root of the Bernstein-Sato polynomial of J.
Keywords
Cite
@article{arxiv.1912.08072,
title = {Hodge ideals and minimal exponents of ideals},
author = {Mircea Mustata and Mihnea Popa},
journal= {arXiv preprint arXiv:1912.08072},
year = {2019}
}
Comments
23 pages