9 citations · 17 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
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…
Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank
Annette Werner
We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) by attaching all the Bruhat-Tits buildings of PGL(W) for non-trivial subspaces W of V as…
Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces
Annette Werner
This paper generalizes Manin's approach towards a geometrical interpretation of Arakelov theory at infinity to linear cycles on projective spaces. We show how to interpret certain…