9 citations · 17 across the 6 of their papers we have counts for
9 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…
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…
p-adic height pairings on abelian varieties with semistable ordinary reduction
Adrian Iovita, Annette Werner
We prove that for abelian varieties with semistable ordinary reduction the p-adic Mazur-Tate height pairing is induced by the unit root splitting of the Hodge filtration on the fir…
Compactification of the Bruhat-Tits building of PGL by seminorms
Annette Werner
We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed wit…