Year: 2026
Type: preprint
Abstract: Let $k$ be an algebraically closed field of characteristic $p>0$ and let $W=W(k)$. We prove that the torsion subgroup of $H^3_{\mathrm{cris}}(X/W)$ is a birational invariant of smooth projective varieties over $k$. The proof combines the action of correspondences on Hodge--Witt cohomology and on the first Nygaard piece of the de Rham--Witt complex.
Source: arXiv (Cornell University)
Authors: Pagano, Margherita, Valloni, Domenico
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222928502