5 citations · 6 across the 6 of their papers we have counts for
6 papers
The conjecture of Colmez and reciprocity laws for modular forms
Vincent Maillot, Damian Rössler
In an article published in 1993, P. Colmez formulated a remarkable conjecture, which asserts that the Faltings height of a CM abelian variety can be computed as a linear combinatio…
Conjectures on the logarithmic derivatives of Artin L-functions II
Vincent Maillot, Damian Rössler
We formulate a general conjecture relating Chern classes of subbundles of Gauss-Manin bundles in Arakelov geometry to logarithmic derivatives of Artin L-functions of number fields.…
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 …
On a conjecture of H. Fang, Z. Lu and K.-I. Yoshikawa
D. Rössler, V. Maillot
A few years ago, Fang, Lu and Yoshikawa conjectured that a certain string-theoretic invariant of Calabi-Yau threefolds is a birational invariant. We prove a weak form of this conje…
On the determinant bundles of abelian schemes
Vincent Maillot, Damian Rössler
Let $π:\CA\ra S$ be an abelian scheme over a scheme which is quasi-projective over an affine noetherian scheme and let $\CL$ be a symmetric, rigidified, relatively ample line b…
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…