6 citations · 11 across the 5 of their papers we have counts for
10 papers
The Riemann-Roch theorem in a singular setting
Damian Rössler
We prove a generalisation of the Grothendieck-Riemann-Roch theorem, which is valid for any proper and flat morphism between noetherian and separated schemes of odd characteristic.
Cohomology and torsion cycles over the maximal cyclotomic extension
Damian Rössler, Tamás Szamuely
A classical theorem by K. Ribet asserts that an abelian variety defined over the maximal cyclotomic extension of a number field has only finitely many torsion points. We show t…
Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes
Guido Kings, Damian Rössler
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…
Strongly semistable sheaves and the Mordell-Lang conjecture over function fields
Damian Rössler
We give a new proof of the Mordell-Lang conjecture in positive characteristic, in the situation where the variety under scrutiny is a smooth subvariety of an abelian variety. Our p…
Rational points of varieties with ample cotangent bundle over function fields of positive characteristic
Henri Gillet, Damian Rössler
Let be the function field of a smooth curve over an algebraically closed field . Let be a scheme, which is smooth and projective over . Suppose that the cotangent bun…
On a canonical class of Green currents for the unit sections of abelian schemes
Vincent Maillot, Damian Rössler
We show that on any abelian scheme over a complex quasi-projective smooth variety, there is a Green current for the zero-section, which is axiomatically determined up to …