7 citations · 16 across the 5 of their papers we have counts for
7 papers
Moulds, Bimoulds, and some Lie algebras
Annika Burmester, Ulf Kühn, Leila Schneps
The Lie algebra of multiple zeta values is realized as the space of alternal moulds whose swap is alte…
Realizations of the formal double Eisenstein space
Henrik Bachmann, Ulf Kühn, Nils Matthes
We introduce the formal double Eisenstein space , which is a generalization of the formal double zeta space of Gangl-Kaneko-Zagier, and prove analogu…
A geometric approach to constructing elements of of curves
Ulf Kühn, J. Steffen Müller
We present a framework for constructing examples of smooth projective curves over number fields with explicitly given elements in their second K-group using elementary algebraic ge…
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…
The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
Henrik Bachmann, Ulf Kuehn
We study the algebra MD of generating function for multiple divisor sums and its connections to multiple zeta values. The generating functions for multiple divisor sums are formal…
A height inequality for rational points on elliptic curves implied by the abc-conjecture
Ulf Kühn, J. Steffen Müller
In this short note we show that the uniform abc-conjecture over number fields puts strong restrictions on the coordinates of rational points on elliptic curves. For the proof we us…
Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces
Ulf Kühn, Jan Steffen Müller
We give an explicitly computable lower bound for the arithmetic self-intersection number of the dualizing sheaf on a large class of arithmetic surfaces. If some technical condition…