Regularity of deficiency modules through spectral sequences
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918337222541312 |
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| author | Boix, Alberto F. Zarzuela, Santiago |
| author_facet | Boix, Alberto F. Zarzuela, Santiago |
| contents | The main goal of this paper is to obtain upper bounds for the regularity of graded deficiency modules in the spirit of the one obtained by Kumini--Murai in the monomial case building upon the spectral sequence formalism developed by Àlvarez Montaner, Boix and Zarzuela. This spectral sequence formalism allows us not only to recover Kumini--Murai's upper bound for monomial ideals, but also to extend it for other types of rings, which include toric face rings and some binomial edge rings, producing to the best of our knowledge new upper bounds for the regularity of graded deficiency modules of this type of rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00092 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of deficiency modules through spectral sequences Boix, Alberto F. Zarzuela, Santiago Commutative Algebra Algebraic Geometry Primary 13A02, 13D07, 13D45 The main goal of this paper is to obtain upper bounds for the regularity of graded deficiency modules in the spirit of the one obtained by Kumini--Murai in the monomial case building upon the spectral sequence formalism developed by Àlvarez Montaner, Boix and Zarzuela. This spectral sequence formalism allows us not only to recover Kumini--Murai's upper bound for monomial ideals, but also to extend it for other types of rings, which include toric face rings and some binomial edge rings, producing to the best of our knowledge new upper bounds for the regularity of graded deficiency modules of this type of rings. |
| title | Regularity of deficiency modules through spectral sequences |
| topic | Commutative Algebra Algebraic Geometry Primary 13A02, 13D07, 13D45 |
| url | https://arxiv.org/abs/2412.00092 |