La structure de Hyodo-Kato pour les courbes
Le groupe cuspidal des courbes de Fermat
Les courbes de Shimura
Les fonctions thêta d'une courbe de Mumford
L-functions of p-adic characters and geometric Iwasawa theory.
Linearly normal curves in and .
Local Diophantine Properties of Shimura Curves.
Local heights on Momford curves.
Local units, elliptic units, Heegner points and elliptic curves.
Local-to-global extensions of representations of fundamental groups
Let be a field of characteristic , a proper, smooth, geometrically connected curve over , and 0 and two -rational points on . We show that any representation of the local Galois group at extends to a representation of the fundamental group of which is tamely ramified at 0, provided either that is separately closed or that is . In the latter case, we show there exists a unique such extension, called “canonical”, with the property that the image of the geometric fundamental group...
Lower Bounds for Heights on Elliptic Curves.