Log Rigid Syntomic Cohomology for Strictly Semistable Schemes

Abstract

We construct log rigid syntomic cohomology for strictly semistable schemes over the ring of integers of a p-adic field, and prove that it is interpreted as the extension group of the complex of admissible filtered $(\varphi ,N)$-modules.

29 pages. In this version, we added the acknowledgement

References in corpus (1)

• Syntomic cohomology and regulators for varieties over p-adic fields