7 citations · 19 across the 6 of their papers we have counts for
6 papers
On the height of the universal abelian variety
José Ignacio Burgos Gil, Jürg Kramer
In this paper we extend the arithmetic intersection theory of adelic divisors on quasiprojective varieties developed by X. Yuan and S. W. Zhang to cover certain adelic arithmetic d…
The singularities of the invariant metric on the line bundle of Jacobi forms
José Burgos, Ulf Kühn, Jürg Kramer
A theorem by Mumford implies that every automorphic line bundle on a pure open Shimura variety, equipped with an invariant smooth metric, can be uniquely extended as a line bundle…
Uniform sup-norm bounds on average for cusp forms of higher weights
Joshua S. Friedman, Jay Jorgenson, Jurg Kramer
Let be a Fuchsian subgroup of the first kind acting on the upper half-plane . Consider the -dimensional space of cusp forms…
An effective bound for the Huber constant for cofinite Fuchsian groups
Joshua S. Friedman, Jay Jorgenson, Jurg Kramer
Let be a cofinite Fuchsian group acting on hyperbolic two-space $\HH.$ Let $M=Γ\setminus \HH $ be the corresponding quotient space. For a closed geodesic of , let $l(γ)…
Arithmetic characteristic classes of automorphic vector bundles
J. I. Burgos Gil, J. Kramer, U. Kuehn
We develop a theory of arithmetic characteristic classes of (fully decomposed) automorphic vector bundles equipped with an invariant hermitian metric. These characteristic classes…
Cohomological arithmetic Chow rings
J. I. Burgos Gil, J. Kramer, U. Kuehn
We develop a theory of abstract arithmetic Chow rings where the role of the fibers at infinity is played by a complex of abelian groups that computes a suitable cohomology theory.…