On the scanning map and the space of smooth projective hypersurfaces
| Title: | On the scanning map and the space of smooth projective hypersurfaces |
|---|---|
| Authors: | Alonso, Ángel Javier, Cantero-Morán, Federico |
| Publication Year: | 2023 |
| Collection: | Mathematics |
| Subject Terms: | Mathematics - Algebraic Topology, Mathematics - Algebraic Geometry, 55R80, 14J70 |
| More Details: | 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. Comment: 19 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2312.03939 |
| Accession Number: | edsarx.2312.03939 |
| Database: | arXiv |
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