Abstract
We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie-Raynaud in their study of the slope spectral sequence, we examine the behavior under derived equivalences of various p-adic quantities related to Hodge-Witt and crystalline cohomology groups, including slope numbers, domino numbers, and Hodge-Witt numbers.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 364-399 |
| Number of pages | 36 |
| Journal | Algebraic Geometry |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2022 |
Funding
The first author was supported by NSF Grant DMS-1552766. The second author was partially supported by NSF RTG grant DMS-1646385 and by NSF postdoctoral fellowship DMS-1902875. Both authors were supported by the National Science Foundation under Grant DMS-1440140 while in residence at the Mathematical Sciences Research Institute in Berkeley, California during the Spring 2019 semester.
Keywords
- Derived equivalence
- Dominoes
- Hodge numbers
- The de rham-witt complex
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology