Abstract
We introduce a lifting property for local cohomology which leads to a unified treatment of the dualizing complex for at morphisms with semi-log-canonical, Du Bois or F-pure fibers. As a consequence, we obtain that in all three cases, the cohomology sheaves of the relative dualizing complex are at and commute with base change. We also derive several consequences for deformations of semi-log-canonical, Du Bois and F-pure singularities.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 758-780 |
| Number of pages | 23 |
| Journal | Algebraic Geometry |
| Volume | 7 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2020 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology
Keywords
- Du bois
- F-pure
- Log canonical