Saturation bounds for smooth varieties
Algebraic Geometry
2022-09-28 v1 Commutative Algebra
Abstract
We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds for any smooth variety. For curves, we bound the saturation degree of powers in terms of the regularity.
Cite
@article{arxiv.2104.01218,
title = {Saturation bounds for smooth varieties},
author = {Lawrence Ein and Huy Tai Ha and Robert Lazarsfeld},
journal= {arXiv preprint arXiv:2104.01218},
year = {2022}
}