Heegner Points and Derivatives of L-Series. II.
Heegner points on modular curves.
Heights of Heegner points on Shimura curves.
Hyperelliptic modular curves
Hyperelliptic modular curves X₀*(N) with square-free levels
Integral canonical models of Shimura varieties
The aim of these notes is to provide an introduction to the subject of integral canonical models of Shimura varieties, and then to sketch a proof of the existence of such models for Shimura varieties of Hodge and, more generally, abelian type. For full details the reader is refered to [Ki 3].
Intersections sur des courbes modulaires.
Involutory elliptic curves over
For let be a subgroup of the Atkin-Lehner involutions of the Drinfeld modular curve . We determine all and for which the quotient curve is rational or elliptic.
Isogeny orbits in a family of abelian varieties
We prove that if a curve of a nonisotrivial family of abelian varieties over a curve contains infinitely many isogeny orbits of a finitely generated subgroup of a simple abelian variety, then it is either torsion or contained in a fiber. This result fits into the context of the Zilber-Pink conjecture. Moreover, by using the polyhedral reduction theory we give a new proof of a result of Bertrand.
Iwasawa modules attached to congruences of cusp forms
L'accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de J [...] (p).
L-functions and periods of polarized regular motives.
Local Indecomposability of Hilbert Modular Galois Representations
We prove the indecomposability of the Galois representation restricted to the -decomposition group attached to a non CM nearly -ordinary weight two Hilbert modular form over a totally real field under the assumption that either the degree of over is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of .
Mock Heegner Points and Congruent Numbers.
Modular curves and the Eisenstein ideal
Modular curves of composite level
Modularity of the Rankin-Selberg -series, and multiplicity one for .
Modulární křivky a Fermatova věta
Mordell-Weil groups of generic Abelian varieties.
Motives for Hilbert modular forms.