Lech's Inequality for the Buchsbaum-Rim Multiplicity and Mixed Multiplicity
Commutative Algebra
2020-08-05 v4
Abstract
We generalize an improved Lech bound, due to Huneke, Smirnov, and Validashti, for the Buchsbaum-Rim multiplicity and mixed multiplicity. We reduce the problem to the graded case and then to the polynomial ring case. There we use complete reductions, studied by Rees, to prove sharper bounds for the mixed multiplicity in low dimensions before proving the general case.
Keywords
Cite
@article{arxiv.1912.01073,
title = {Lech's Inequality for the Buchsbaum-Rim Multiplicity and Mixed Multiplicity},
author = {Vinh Nguyen and Kelsey Walters},
journal= {arXiv preprint arXiv:1912.01073},
year = {2020}
}
Comments
15 pages, 0 figures; major revisions in this version to enhance readability