On the scanning map and the space of smooth projective hypersurfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912137579855872 |
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| author | Alonso, Ángel Javier Cantero-Morán, Federico |
| author_facet | Alonso, Ángel Javier Cantero-Morán, Federico |
| contents | The space of degree d smooth projective hypersurfaces of CP n admits a scanning map to a certain space of sections. We compute a rational homotopy model of the action by conjugation of the group U (n + 1) on this space of sections, from which we deduce that the scanning map induces a monomorphism on cohomology when d > 2. Our main technique is the rational homotopy theory of Sullivan and, more specifically, a Sullivan model for the action by conjugation of a connected topological group on a space of sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03939 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the scanning map and the space of smooth projective hypersurfaces Alonso, Ángel Javier Cantero-Morán, Federico Algebraic Topology Algebraic Geometry 55R80, 14J70 The space of degree d smooth projective hypersurfaces of CP n admits a scanning map to a certain space of sections. We compute a rational homotopy model of the action by conjugation of the group U (n + 1) on this space of sections, from which we deduce that the scanning map induces a monomorphism on cohomology when d > 2. Our main technique is the rational homotopy theory of Sullivan and, more specifically, a Sullivan model for the action by conjugation of a connected topological group on a space of sections. |
| title | On the scanning map and the space of smooth projective hypersurfaces |
| topic | Algebraic Topology Algebraic Geometry 55R80, 14J70 |
| url | https://arxiv.org/abs/2312.03939 |