REVIEW 2 cited by
Hodge--Tate prismatic crystals and Sen theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We study Hodge-Tate crystals on the absolute (log-) prismatic site of $\mathcal{O}_K$, where $\mathcal{O}_K$ is a mixed characteristic complete discrete valuation ring with perfect residue field. We first classify Hodge-Tate crystals by $\mathcal{O}_K$-modules equipped with certain small endomorphisms. We then construct Sen theory over a non-Galois Kummer tower, and use it to classify rational Hodge-Tate crystals by (log-) nearly Hodge-Tate representations. Various cohomology comparison and vanishing results are proved along the way.
Forward citations
Cited by 2 Pith papers
-
de Rham theory and locally analytic vectors
Orientability of a p-adic Lie tower, the existence of a Galois-equivariant lift of its Sen operator, is exactly what makes the pro-analytic de Rham period ring a Galois-equivariant power series ring over the tower's l...
-
A note on prismatic sites for p-quasisyntomic rings
Transversal objects and relatively quasiregular semiperfectoid covers of a p-quasisyntomic ring R produce objects in R_Δ that cover the final object and admit finite self-coproducts.
Discussion (0). Continue with ORCID to comment.