Derived symmetries for crepant contractions to hypersurfaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910002299535360 |
|---|---|
| author | Donovan, W. |
| author_facet | Donovan, W. |
| contents | Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when X is a hypersurface in a smooth ambient S, using a spherical functor from the derived category of S. I describe this symmetry, relate it to other symmetries, and establish its compatibility with base change. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19555 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived symmetries for crepant contractions to hypersurfaces Donovan, W. Algebraic Geometry Primary 14F08, Secondary 14J32, 18G80 Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when X is a hypersurface in a smooth ambient S, using a spherical functor from the derived category of S. I describe this symmetry, relate it to other symmetries, and establish its compatibility with base change. |
| title | Derived symmetries for crepant contractions to hypersurfaces |
| topic | Algebraic Geometry Primary 14F08, Secondary 14J32, 18G80 |
| url | https://arxiv.org/abs/2409.19555 |