Mordell's conjecture over function fields.
Mordell-Weil rank of the jacobians of the curves defined by
More cubic surfaces violating the Hasse principle
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
Motifs des variétés algébriques
Motifs, L-Functions, and the K-Cohomology of Rational Surfaces over Finite Fields.
Motives for Hilbert modular forms.
Motives for modular forms.
Motivic Artin -functions and a motivic Tamagawa number. (Fonctions d'Artin et nombre de Tamagawa motiviques.)
Motivic cohomology and values of zeta functions
Motivic L-functions and Galois module structures.
Motivic measures
Multicanonical systems of elliptic surfaces in small characteristics
Multiple Bernoulli series, an Euler-MacLaurin formula, and Wall crossings
We study multiple Bernoulli series associated to a sequence of vectors generating a lattice in a vector space. The associated multiple Bernoulli series is a periodic and locally polynomial function, and we give an explicit formula (called wall crossing formula) comparing the polynomial densities in two adjacent domains of polynomiality separated by a hyperplane. We also present a formula in the spirit of Euler-MacLaurin formula. Finally, we give a decomposition formula for the Bernoulli series describing...
Multiple zeta values and periods of moduli spaces
We prove a conjecture due to Goncharov and Manin which states that the periods of the moduli spaces of Riemann spheres with marked points are multiple zeta values. We do this by introducing a differential algebra of multiple polylogarithms on and proving that it is closed under the operation of taking primitives. The main idea is to apply a version of Stokes’ formula iteratively to reduce each period integral to multiple zeta values. We also give a geometric interpretation of the double shuffle...
Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten.
ndependence of Modular Units on Tate Curves.
Néron models from the rigid analytic viewpoint.
Néron models from the rigid analytic viewpoint
Néron models in the setting of formal and rigid geometry.
Netradiční aplikace dyadické soustavy