Hyodo-Kato cohomology in rigid geometry: some foundational results
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:7ZKMCQMXrecord.jsonopen to challenge →
classification
math.AG
math.NT
keywords
cohomologyhyodo-katorigidanalyticfoundationalgeometryresultssequence
read the original abstract
By exploring the geometric properties of Hyodo-Kato cohomology in rigid geometry, we establish several foundational results, including the semistable conjecture for \'etale cohomology of almost proper rigid analytic varieties, and GAGA (comparison between algebraic and analytic) for Hyodo-Kato cohomology. A central component of our approach is the Gysin sequence for Hyodo-Kato cohomology, which we construct using the open-closed exact sequence for compactly supported Hyodo-Kato cohomology and Poincar\'e duality.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.