Bernstein-Sato roots for monomial ideals in positive characteristic
Commutative Algebra
2019-11-15 v2 Algebraic Geometry
Abstract
Following work of Musta\c{t}\u{a} and Bitoun we recently developed a notion of Bernstein-Sato roots for arbitrary ideals, which is a prime characteristic analogue for the roots of the Bernstein-Sato polynomial. Here we prove that for monomial ideals the roots of the Bernstein-Sato polynomial (over ) agree with the Bernstein-Sato roots of the mod- reductions of the ideal for large enough. We regard this as evidence that the characteristic- notion of Bernstein-Sato root is reasonable.
Keywords
Cite
@article{arxiv.1907.11709,
title = {Bernstein-Sato roots for monomial ideals in positive characteristic},
author = {Eamon Quinlan-Gallego},
journal= {arXiv preprint arXiv:1907.11709},
year = {2019}
}
Comments
v2: we use a new characterization of Bernstein-Sato roots to simplify some of the proofs. We include examples in small characteristic. Other minor changes. 9 pages. arXiv admin note: text overlap with arXiv:1907.07297