### Syntomic regulators and p-adic integration I Rigid syntomic regulators, by Amnon Besser

The main objective of this paper is to give a new construction of syntomic
cohomology for smooth schemes over the ring of integers of a *p*-adic
field and to construct regulators from K-theory into this cohomology. Our
construction is better behaved than previous constructions: the resulting
cohmology is always finite dimensional, and it maps to most other
constructions.

We also define a new cohmology theory, "modified syntomic
cohomology" which is better behaved in explicit computations yet is
isomorphic to syntomic cohomology in most cases of interest.

The paper has diagrams typeset using xypic and so may require xypic fonts.

Later versions of this work as well as other papers of mine are available here and in
the future will be available here.

Amnon Besser <Amnon.Besser@durham.ac.uk>