33 citations · 121 across the 38 of their papers we have counts for
14 papers · 1 filter
Invariant Functions on -divisible Groups and the -adic Corona Problem II
Behzad Nikzad, Christopher Deninger
This note removes the dimension one restriction of the main results in the paper with the same title by the second author.
A remark on the vanishing of Higgs fields in the -adic Simpson correspondence
Christopher Deninger, Deepak Kamlesh
We give a condition on a -adic representation of the fundamental group of a curve over which ensures that under the -adic Simpson correspondence the…
On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes
Christopher Deninger, Michael Wibmer
The proalgebraic fundamental group of a connected topological space , recently introduced by the first author, is an affine group scheme whose representations classify local sys…
There is no "Weil-"cohomology theory with real coefficients for arithmetic curves
Christopher Deninger
A well known argument by Serre shows that there is no Weil cohomology theory with real coefficients for smooth projective varieties over . In this note we expla…
Parallel transport for vector bundles on p-adic varieties
Christopher Deninger, Annette Werner
We develop a theory of étale parallel transport for vector bundles with numerically flat reduction on a -adic variety. This construction is compatible with natural operations on…
Horizontal factorizations of certain Hasse--Weil zeta functions - a remark on a paper by Taniyama
Christopher Deninger, Dimitri Wegner
In one of his papers, using arguments about l-adic representations, Taniyama expresses the zeta function of an abelian variety over a number field as an infinite product of modifie…