48 citations · 69 across the 6 of their papers we have counts for
6 papers
Moret-Bailly families and non-liftable schemes
Damian Roessler, Stefan Schröer
Generalizing the Moret-Bailly pencil of supersingular abelian surfaces to higher dimensions, we construct for each field of characteristic p>0 a smooth projective variety with triv…
A note on the Manin-Mumford conjecture
Damian Roessler
In the article [PR1] {\it On Hrushovski's proof of the Manin-Mumford conjecture} (Proceedings of the ICM 2002), R. Pink and the author gave a short proof of the Manin-Mumford conje…
On Hrushovski's proof of the Manin-Mumford conjecture
Richard Pink, Damian Roessler
The Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski gave a different proof using model theory. His main result from model theory, whe…
On the periods of motives with complex multiplication and a conjecture of Gross-Deligne
V. Maillot, D. Roessler
We prove that the existence of an automorphism of finite order on a (defined over a number field) variety X implies the existence of algebraic linear relations between the logarith…
A fixed point formula of Lefschetz type in Arakelov geometry IV: the modular height of C.M. abelian varieties
Kai Koehler, Damian Roessler
We give a new proof of a slightly weaker form of a theorem of P. Colmez. This theorem gives a formula for the Faltings height of abelian varieties with complex multiplication by a…
A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula
Kai Koehler, Damian Roessler
This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to…