Rees algebras of sparse determinantal ideals
Commutative Algebra
2021-01-12 v1
Abstract
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees algebra and the special fiber ring are Cohen-Macaulay domains, they are Koszul, they have rational singularities in characteristic zero and are F-rational in positive characteristic.
Keywords
Cite
@article{arxiv.2101.03222,
title = {Rees algebras of sparse determinantal ideals},
author = {Ela Celikbas and Emilie Dufresne and Louiza Fouli and Elisa Gorla and Kuei-Nuan Lin and Claudia Polini and Irena Swanson},
journal= {arXiv preprint arXiv:2101.03222},
year = {2021}
}
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