Weiss derivatives of holomorphic maps
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909602759573504 |
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| author | Aumonier, Alexis |
| author_facet | Aumonier, Alexis |
| contents | We propose an orthogonal approach to the stable homotopy type of spaces of holomorphic maps to projective space. We study the Weiss towers of the unitary functors of holomorphic and continuous maps to $\mathbb{P}(V)$, and show that the former is polynomial and completely compute the latter. As an application we give a new proof of a stable splitting of Cohen--Cohen--Mann--Milgram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03731 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weiss derivatives of holomorphic maps Aumonier, Alexis Algebraic Topology Algebraic Geometry 18F50, 55R80 We propose an orthogonal approach to the stable homotopy type of spaces of holomorphic maps to projective space. We study the Weiss towers of the unitary functors of holomorphic and continuous maps to $\mathbb{P}(V)$, and show that the former is polynomial and completely compute the latter. As an application we give a new proof of a stable splitting of Cohen--Cohen--Mann--Milgram. |
| title | Weiss derivatives of holomorphic maps |
| topic | Algebraic Topology Algebraic Geometry 18F50, 55R80 |
| url | https://arxiv.org/abs/2505.03731 |