Gorenstein Special Fiber Rings of Ladder Determinantal Modules
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908775494975488 |
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| author | Fouli, Louiza Lin, Kuei-Nuan Lindo, Haydee Mostafazadehfard, Maral |
| author_facet | Fouli, Louiza Lin, Kuei-Nuan Lindo, Haydee Mostafazadehfard, Maral |
| contents | A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for the special fiber ring of such modules to be Gorenstein. These conditions are expressed in terms of data obtained from the underlying matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13483 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gorenstein Special Fiber Rings of Ladder Determinantal Modules Fouli, Louiza Lin, Kuei-Nuan Lindo, Haydee Mostafazadehfard, Maral Commutative Algebra 13C40, 13A30, 13H10, 14M12, 14M15, 13C70 A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for the special fiber ring of such modules to be Gorenstein. These conditions are expressed in terms of data obtained from the underlying matrix. |
| title | Gorenstein Special Fiber Rings of Ladder Determinantal Modules |
| topic | Commutative Algebra 13C40, 13A30, 13H10, 14M12, 14M15, 13C70 |
| url | https://arxiv.org/abs/2601.13483 |