Rose-Terao-Yuzvinsky theorem for reduced forms
Commutative Algebra
2024-08-27 v1
Abstract
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this work one provides yet another proof of this result, which in addition is totally different from the one given by Burity-Simis-Tohaneanu. Another main drive of the paper concerns a version of the above result in the case of a product of general forms of arbitrary degrees (in particular, transverse ones). Finally, some relevant cases of non general forms are also contemplated.
Cite
@article{arxiv.2408.13579,
title = {Rose-Terao-Yuzvinsky theorem for reduced forms},
author = {Ricardo Burity and Zaqueu Ramos and Aron Simis and Stefan Tohaneanu},
journal= {arXiv preprint arXiv:2408.13579},
year = {2024}
}