Existence of balanced dualizing dg-modules
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912410956201984 |
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| author | Brown, Michael K. Levins, Andrew J. Soto Sridhar, Prashanth |
| author_facet | Brown, Michael K. Levins, Andrew J. Soto Sridhar, Prashanth |
| contents | We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dualizing complexes over graded algebras. As a consequence, we show that a dg-algebra satisfying certain finiteness conditions admits a balanced dualizing dg-module if and only if its zeroth cohomology algebra admits a balanced dualizing complex. Additionally, we obtain a host of new examples of dg-algebras whose associated noncommutative spaces satisfy Serre duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of balanced dualizing dg-modules Brown, Michael K. Levins, Andrew J. Soto Sridhar, Prashanth Rings and Algebras Algebraic Geometry 14F08 We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dualizing complexes over graded algebras. As a consequence, we show that a dg-algebra satisfying certain finiteness conditions admits a balanced dualizing dg-module if and only if its zeroth cohomology algebra admits a balanced dualizing complex. Additionally, we obtain a host of new examples of dg-algebras whose associated noncommutative spaces satisfy Serre duality. |
| title | Existence of balanced dualizing dg-modules |
| topic | Rings and Algebras Algebraic Geometry 14F08 |
| url | https://arxiv.org/abs/2506.02398 |