A configuration space model for algebraic function spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909445776211968 |
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| author | Banerjee, Oishee |
| author_facet | Banerjee, Oishee |
| contents | We prove that the space of algebraic maps between two smooth projective varieties, under certain conditions, admit a configuration space model, thereby obtaining an algebro-geometric analogue of Bendersky-Gitler's result on topological function spaces. Our result is a natural higher dimensional counterpart of \cite[Theorem 3]{Ban24}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00105 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A configuration space model for algebraic function spaces Banerjee, Oishee Algebraic Geometry Algebraic Topology We prove that the space of algebraic maps between two smooth projective varieties, under certain conditions, admit a configuration space model, thereby obtaining an algebro-geometric analogue of Bendersky-Gitler's result on topological function spaces. Our result is a natural higher dimensional counterpart of \cite[Theorem 3]{Ban24}. |
| title | A configuration space model for algebraic function spaces |
| topic | Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2501.00105 |