A transformation rule for natural multiplicities
Commutative Algebra
2020-02-27 v3 Algebraic Geometry
Abstract
For multiplicities arising from a family of ideals we provide a general approach to transformation rules for a ring extension \'etale in codimension one. Our result can be applied to bound the size of the local \'etale fundamental group of a singularity in terms of F-signature, recovering a recent result of Carvajal-Rojas, Schwede, and Tucker, and differential signature, providing the first characteristic-free effective bound.
Cite
@article{arxiv.1904.07755,
title = {A transformation rule for natural multiplicities},
author = {Jack Jeffries and Ilya Smirnov},
journal= {arXiv preprint arXiv:1904.07755},
year = {2020}
}
Comments
12 pages, comments are welcome