Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.22031 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915361444593664 |
|---|---|
| author | Bassi, Lucas Li Papallo, Filippo |
| author_facet | Bassi, Lucas Li Papallo, Filippo |
| contents | We find an explicit geometric description of all coverings of the Hilbert square on a normal, complex, quasi-projective surface with finite fundamental group. We then apply this construction to show that if $Σ$ is an irreducible symplectic surface then its Hilbert square is an irreducible symplectic variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inducing coverings on Hilbert schemes Bassi, Lucas Li Papallo, Filippo Algebraic Geometry We find an explicit geometric description of all coverings of the Hilbert square on a normal, complex, quasi-projective surface with finite fundamental group. We then apply this construction to show that if $Σ$ is an irreducible symplectic surface then its Hilbert square is an irreducible symplectic variety. |
| title | Inducing coverings on Hilbert schemes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.22031 |