Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915008208699392 |
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| author | Cid-Ruiz, Yairon Polini, Claudia Ulrich, Bernd |
| author_facet | Cid-Ruiz, Yairon Polini, Claudia Ulrich, Bernd |
| contents | We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings, that we introduce and call weakly Gorenstein. As a main consequence, we obtain a new general framework to investigate blowup algebras. We use our results to study and determine the defining equations of the Rees algebra of certain families of ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03837 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras Cid-Ruiz, Yairon Polini, Claudia Ulrich, Bernd Commutative Algebra Algebraic Geometry 13A30, 13H10, 13D45, 13D07, 14E05 We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings, that we introduce and call weakly Gorenstein. As a main consequence, we obtain a new general framework to investigate blowup algebras. We use our results to study and determine the defining equations of the Rees algebra of certain families of ideals. |
| title | Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras |
| topic | Commutative Algebra Algebraic Geometry 13A30, 13H10, 13D45, 13D07, 14E05 |
| url | https://arxiv.org/abs/2205.03837 |