17 citations · 73 across the 17 of their papers we have counts for
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Mahler measures and Fuglede--Kadison determinants
C. Deninger
The Mahler measure of a function on the real d-torus is its geometric mean over the torus. It appears in number theory, ergodic theory and other fields. The Fuglede-Kadison determi…
Representations attached to vector bundles on curves over finite and p-adic fields, a comparison
C. Deninger
For a vector bundle E on a model of a smooth projective curve over a p-adic number field a p-adic representation of the geometric fundamental group of X has been defined in work wi…
Invariant functions on p-divisible groups and the p-adic Corona problem
C. Deninger
We study invariant functions on the reductions mod p^n of p-divisible groups. The proof of the main result, which applies to one-dimensional groups, combines results of Tate with v…
Vector bundles on p-adic curves and parallel transport II
C. Deninger, A. Werner
We extend our previous theory of etale parallel transport to a larger class of slope zero vector bundles on p-adic curves. The new class is stable under pullback by ramified coveri…