Year: 2025
Type: article
Abstract: Let R be a complete valuation ring of mixed characteristic (0, p) with algebraically closed fraction field K and residue field k.Let X/R be a smooth projective morphism.We show that if X k is stably rational, then H 3 K et (X K , )ޚ is torsion-free.The proof uses the integral p-adic Hodge theory of Bhatt, Morrow and Scholze and the study of differential forms in positive characteristic.We then apply this result to study the Noether problem for finite p-groups.
Source: Algebra & Number Theory
Authors: Emiliano Ambrosi, Domenico Valloni
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415360075