| 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 |
