Unexpected loss of maximality: the case of Hilbert square of real surfaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917079228088320 |
|---|---|
| author | Kharlamov, Viatcheslav Răsdeaconu, Rareş |
| author_facet | Kharlamov, Viatcheslav Răsdeaconu, Rareş |
| contents | We explore the maximality of the Hilbert square of maximal real surfaces, and find that in many cases the Hilbert square is maximal if and only if the surface has connected real locus. In particular, the Hilbert square of no maximal K3-surface is maximal. Nevertheless, we exhibit maximal surfaces with disconnected real locus whose Hilbert square is maximal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02796 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unexpected loss of maximality: the case of Hilbert square of real surfaces Kharlamov, Viatcheslav Răsdeaconu, Rareş Algebraic Geometry Algebraic Topology Geometric Topology 14P25 (Primary) 14C05, 14J99 (Secondary) We explore the maximality of the Hilbert square of maximal real surfaces, and find that in many cases the Hilbert square is maximal if and only if the surface has connected real locus. In particular, the Hilbert square of no maximal K3-surface is maximal. Nevertheless, we exhibit maximal surfaces with disconnected real locus whose Hilbert square is maximal. |
| title | Unexpected loss of maximality: the case of Hilbert square of real surfaces |
| topic | Algebraic Geometry Algebraic Topology Geometric Topology 14P25 (Primary) 14C05, 14J99 (Secondary) |
| url | https://arxiv.org/abs/2303.02796 |