The $F$-regularity of algebraic sets related to commutator matrices
Commutative Algebra
2024-12-13 v1 Algebraic Geometry
Abstract
We study the algebraic sets of pairs of matrices defined by the vanishing of the anti-diagonal as well as the cross-diagonal of their commutator matrix. We prove that, over a field of prime characterisitic, the coordinate ring of the latter is always -regular and, with exactly one exception, so is that of the former, thus proving a conjecture of Kadyrsizova and Yerlanov.
Cite
@article{arxiv.2305.15487,
title = {The $F$-regularity of algebraic sets related to commutator matrices},
author = {Trung Chau},
journal= {arXiv preprint arXiv:2305.15487},
year = {2024}
}
Comments
11 pages, comments welcome!!!!