cohomology

# Contents

## Idea

Syntomic cohomology is the abelian sheaf cohomology of the syntomic site of 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, $p$-Adic periods and $p$-adic etale cohomology (pdf)

Further developments are in

• Amnon Besser, Syntomic regulators and $p$-adic integration I: rigid syntomic regulators (pdf)
Revised on June 25, 2015 10:48:35 by David Corfield (212.159.57.133)