Topological sheaves and spaces of distributions in the global case
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914058558504960 |
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| author | Casarin, Luca Maffei, Andrea |
| author_facet | Casarin, Luca Maffei, Andrea |
| contents | We extend the theory of fields/distributions developed the paper "A Feigin-Frenkel theorem with n singularities" to a general base scheme. In order to do so we introduce suitable notions of topological sheaves on schemes and study their basic properties. We then construct appropriate analogues of the spaces of fields, consider multiplication of fields between them and rebuild the basic theory of vertex algebras in the setting of global distributions in place of formal power series, which takes the form of chiral algebras introduced Beilinson and Drinfeld in "Chiral Algebras". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08935 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological sheaves and spaces of distributions in the global case Casarin, Luca Maffei, Andrea Algebraic Geometry Representation Theory 17B65, 17B69 We extend the theory of fields/distributions developed the paper "A Feigin-Frenkel theorem with n singularities" to a general base scheme. In order to do so we introduce suitable notions of topological sheaves on schemes and study their basic properties. We then construct appropriate analogues of the spaces of fields, consider multiplication of fields between them and rebuild the basic theory of vertex algebras in the setting of global distributions in place of formal power series, which takes the form of chiral algebras introduced Beilinson and Drinfeld in "Chiral Algebras". |
| title | Topological sheaves and spaces of distributions in the global case |
| topic | Algebraic Geometry Representation Theory 17B65, 17B69 |
| url | https://arxiv.org/abs/2501.08935 |