9 citations · 29 across the 9 of their papers we have counts for
14 papers
On Tannaka duality for vector bundles on p-adic curves
C. Deninger, A. Werner
We prove that a category of degree zero vector bundles with "potentially strongly semistable reduction" on a p-adic curve is a neutral Tannakian category. We also make a first stud…
Arithmetic Geometry and Analysis on Foliated Spaces
C. Deninger
This report on the topics in the title was written for a lecture series at the Southwestern Center for Arithmetic Algebraic Geometry at the University of Arizona.It may serve as an…
Fuglede-Kadison determinants and entropy for actions of discrete amenable groups
Christopher Deninger
In 1990, Lind, Schmidt and Ward gave a formula for the entropy of certain -dynamical systems attached to Laurent polynomials , in terms of the (logarithmic) Mahler…
Line bundles and p-adic characters
Christopher Deninger, Annette Werner
For a certain class of vector bundles E on abelian varieties A over local fields containing all line bundles algebraically equivalent to zero we define a canonical representation o…
Vector bundles on p-adic curves and parallel transport
Christopher Deninger, Annette Werner
We define functorial isomorphisms of parallel transport along etale paths for a class of vector bundles on a p-adic curve. All bundles of degree zero whose reduction is strongly se…
Vector bundles and p-adic representations I
C. Deninger, A. Werner
We define and study a certain category of vector bundles on a p-adic curve to which we can associate in a functorial way finite dimensional p-adic representations of the geometric…