Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
Commutative Algebra
2026-05-28 v1
Abstract
For a graded ideal I in a graded ring, the deviation of I is defined as the difference between the minimal number of generators of I and its grade. In this article, we provide bigraded free resolutions of the symmetric algebras for specific classes of ideals of deviation two. Additionally, we study the regularity of powers of deviation two ideals generated by d-sequences. In particular, we examine the powers of Huneke-Ulrich ideals and find bounds on their regularity.
Keywords
Cite
@article{arxiv.2605.27632,
title = {Free Resolutions of Symmetric Algebras of Ideals with Deviation Two},
author = {Neeraj Kumar and Aniruddha Saha and Chitra Venugopal},
journal= {arXiv preprint arXiv:2605.27632},
year = {2026}
}
Comments
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