### Finite correspondances and transfers over a regular base, by F. Déglise

The purpose of this preprint is two-fold.
First, present the theory of sheaves with transfers of Voevodsky over
a perfect field together with the proof of the main results of the
theory, as for example the homotopy invariance of cohomology. Here we
follow mainly the original proof of Voevodsky except that we use only
the Nisnevich topology and we work with finite correspondances up to
homotopy. This later fact allows to give a neat exposition of the
basis for the theory.
Second, establish the theory of finite correspondances over a regular
base using Serre Tor formula for computing intersection
multiplicities.

F. Déglise <deglise@math.univ-paris13.fr>