… of a new p-adic cohomology theory for varieties over local fields of positive characteristic,
that is fields which are isomorphic to a Laurent series field k((t)) over a finite field k, and in this …

… series [11,12] concerning a new p-adic cohomology theory for varieties over Laurent series
fields … A general overview of the whole series is given in the introduction to [11], so here we …

… This is the first in a series of papers in which we construct … cohomology theory for varieties
over Laurent series fields k((t)) in characteristic p. This will be a version of rigid cohomology, …

… A detailed introduction to the whole series is given in [8], so here we will give a brief … of rigid
cohomology for varieties over the Laurent series field k((t)) with values in vector spaces over …

… rigid cohomology of varieties over a field k of characteristic p > 0. Let K be a complete discrete
valuation ring of mixed characteristics (0,p) with residue field … to the Laurent series ring R((t…

… As above, we can write the space of L2 vector fields on M as a Hilbertian direct sum of
subspaces Vj where each Vj is an irreducible K-module and is contained in an eigenspace for ∆ …

… a field theory over X as a family of field theories parametrized by X : If E is a field theory over
X , and x is a point of X , we obtain a field … get the notion of a rigid Euclidean manifold used in …

… nonarchimedean field. Throughout this paper, fix a prime number p, and let K be a field of …
Let X be a smooth proper rigid analytic variety over K. Let V be an étale Qp-local system on …

… of physics by deriving them from the rigidity of complex geometry and holomorphic functions
(… by exactly the same technique of Laurent series expansion. The only difference is that the …

… One considers the field of fractions of the ring of Laurent series … In this chapter we give a
survey of rigid geometry over non-Archimedean fields. The foundation of the theory was laid by …