Damian Rössler

Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes

We give a simple axiomatic description of the degree 0 part of the polylogarithm on abelian schemes and show that its realisation in analytic Deligne cohomology can be described in terms of the Bismut–Kohler higher analytic torsion form of the Poincare bundle.

Infinitely p-Divisible Points on Abelian Varieties Defined over Function Fields of Characteristic p>0

In this article we consider some questions raised by F. Benoist, E. Bouscaren and A. Pillay. We prove that infinitely

On the Manin–Mumford and Mordell–Lang conjectures in positive characteristic

p

On a canonical class of Green currents for the unit sections of abelian schemes

-divisible points on abelian varieties defined over function fields of transcendence degree one over a finite field are necessarily torsion points. We also prove that when the endomorphism ring of the abelian variety is

Strongly semistable sheaves and the Mordell-Lang conjecture over function fields

\mZ

On the determinant bundles of abelian schemes

then there are no infinitely

Formes automorphes et theoremes de Riemann-Roch arithmetiques

p

Rational points of varieties with ample cotangent bundle over function fields

-divisible points of order a power of

On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic

p

On the Adams-Riemann-Roch theorem in positive characteristic

.In this article we consider some questions raised by F. Benoist, E. Bouscaren and A. Pillay. We prove that infinitely p-divisible points on abelian varieties defined over function fields of transcendence degree one over a finite field are necessarily torsion points. We also prove that when the endomorphism ring of the abelian variety is Z then there are no infinitely p-divisible points of order a power of p.