nLab
syntomic cohomology

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

Syntomic cohomology is the abelian sheaf cohomology of the syntomic site of a a scheme.

It is closely related to the crystalline cohomology of that scheme. It may be regarded as an example of an absolute cohomology theory.

References

The syntomic site was introduced in

  • Jean-Marc Fontaine and William Messing, pp-Adic periods and pp-adic etale cohomology (pdf)

Further developments are in

  • Amnon Besser, Syntomic regulators and pp-adic integration I: rigid syntomic regulators (pdf)
Revised on June 6, 2014 00:03:19 by Urs Schreiber (145.116.130.232)