Ladder determinantal varieties and their symbolic blowups
Commutative Algebra
2026-01-14 v2 Algebraic Geometry
Combinatorics
Abstract
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly -regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is -pure. The latter implies that mixed ladder determinantal rings are -pure. We also show that ideals of the poset of minors of a generic matrix give rise to -pure algebras with straightening law.
Keywords
Cite
@article{arxiv.2305.18167,
title = {Ladder determinantal varieties and their symbolic blowups},
author = {Alessandro De Stefani and Jonathan Montaño and Luis Núñez-Betancourt and Lisa Seccia and Matteo Varbaro},
journal= {arXiv preprint arXiv:2305.18167},
year = {2026}
}
Comments
Minor changes from v1