Serre duality for dg-algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913992557985792 |
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| author | Brown, Michael K. Sridhar, Prashanth |
| author_facet | Brown, Michael K. Sridhar, Prashanth |
| contents | We generalize Yekutieli-Zhang's noncommutative Serre Duality Theorem to the setting of noncommutative spaces associated to dg-algebras. As an application, we establish some finiteness properties of derived global sections over such noncommutative spaces. Along the way, we generalize Yekutieli's notion of a balanced dualizing complex to the setting of dg-algebras and establish some cases in which they exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07204 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Serre duality for dg-algebras Brown, Michael K. Sridhar, Prashanth Rings and Algebras Algebraic Geometry 14F08 We generalize Yekutieli-Zhang's noncommutative Serre Duality Theorem to the setting of noncommutative spaces associated to dg-algebras. As an application, we establish some finiteness properties of derived global sections over such noncommutative spaces. Along the way, we generalize Yekutieli's notion of a balanced dualizing complex to the setting of dg-algebras and establish some cases in which they exist. |
| title | Serre duality for dg-algebras |
| topic | Rings and Algebras Algebraic Geometry 14F08 |
| url | https://arxiv.org/abs/2410.07204 |