7 citations · 19 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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)…
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.…