Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918526041718784 |
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| author | Kumar, Neeraj Saha, Aniruddha Venugopal, Chitra |
| author_facet | Kumar, Neeraj Saha, Aniruddha Venugopal, Chitra |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_27632 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Free Resolutions of Symmetric Algebras of Ideals with Deviation Two Kumar, Neeraj Saha, Aniruddha Venugopal, Chitra Commutative Algebra 13D02, 13C05, 13A30 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. |
| title | Free Resolutions of Symmetric Algebras of Ideals with Deviation Two |
| topic | Commutative Algebra 13D02, 13C05, 13A30 |
| url | https://arxiv.org/abs/2605.27632 |