Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.07628 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- We construct smooth projective families of algebraic varieties in characteristic $p$ such that the dimensions of the de Rham and Hodge cohomology groups of the fibers can be made to jump by an arbitrarily large amount. To do this, we first construct an example using the classifying stack of a finite flat group scheme which degenerates $\mathbb{Z}/p^2\mathbb{Z}$ to $α_p \oplus α_p$. Along the way, we give a self-contained exposition of the construction of Godeaux--Serre varieties.