Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary

DOI10.4171/RSMUP/81zbMath1478.14040arXiv1805.04974OpenAlexW3157041292MaRDI QIDQ2039382

Publication date: 2 July 2021

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04974

zbMATH Keywords

syntomic cohomology rigid cohomology semistable reduction

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30) Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Syntomic cohomology and $p$-adic regulators for varieties over $p$-adic fields
Cycle classes and the syntomic regulator
Finite polynomial cohomology for general varieties
On the $p$-adic Beilinson conjecture for number fields
$p$-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
Log smooth deformation theory
Syntomic cohomology as a $p$-adic absolute Hodge cohomology
de Rham cohomology of rigid spaces
Compactifications of log morphisms
Points and topologies in rigid geometry
Kato's Euler system and rational points on elliptic curves. I: A $p$-adic Beilinson formula
On $p$-adic absolute Hodge cohomology and syntomic coefficients. I.
On the crystalline period map
Formal cohomology. I
Théorie de Hodge. III
$p$-adic periods and derived de Rham cohomology
$p$-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields
The Cech filtration and monodromy in log crystalline cohomology
Logarithmic structures of Fontaine-Illusie. II
Solutions d'équations à coefficients dans un anneau hensélien
Relative log convergent cohomology and relative rigid cohomology II
A De Rham–Witt approach to crystalline rational homotopy theory
Rigid analytic spaces with overconvergent structure sheaf
Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space
Weak Formal Schemes
Syntomic regulators and $p$-adic integration. I: Rigid syntomic regulators

This page was built for publication: Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary