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On the crystalline Artin--Mumford invariant
Abstract
Let k be an algebraically closed field of characteristic p>0 and let W=W(k). We prove that the torsion subgroup of H3cris(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.
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BibTeX
@misc{pagano2026crystalline,
title = {{On the crystalline Artin--Mumford invariant}},
author = {Margherita Pagano and Domenico Valloni},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23516},
eprint = {2610.23516},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23516},
}
RIS
TY - UNPB
TI - On the crystalline Artin--Mumford invariant
AU - Margherita Pagano
AU - Domenico Valloni
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23516
UR - https://arxiv.org/abs/2610.23516
AB - 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_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.
ER -