F-thresholds and Bernstein-Sato polynomials
代数几何
2007-05-23 v1 交换代数
摘要
We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in characteristic zero. We discuss the connection between the invariants of an ideal in characteristic zero and the invariants of the different reduction mod p of this ideal. Our main point is that this relation depends on arithmetic properties of p. We also describe a new connection between invariants mod p and the roots of the Bernstein-Sato polynomial.
引用
@article{arxiv.math/0411170,
title = {F-thresholds and Bernstein-Sato polynomials},
author = {Mircea Mustata and Shunsuke Takagi and Kei-ichi Watanabe},
journal= {arXiv preprint arXiv:math/0411170},
year = {2007}
}
备注
22 pages, submitted to the Proceedings of the 4th ECM, Stockolm, 2004