Higher order operations in Deligne cohomology.
Higher regulators and Hecke L-series of imaginary quadratic fields I.
Hilbert sets and zeta functions over finite fields.
Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification
Höhentheorie (mit einem Appendix von Jürg Kramer: Eine alternative Begründung der Néron-Tate Höhe).
Horizontal Factorizations of Certain Hasse-Weil Zeta Functions - a Remark on a Paper by Taniyama
Hyperelliptic modular curves
Hyperelliptic modular curves X₀*(N) with square-free levels
Icosahedral Galois Extensions and Elliptic Curves.
Ideal class group annihilators
Ideal class groups, Hilbert’s irreducibility theorem, and integral points of bounded degree on curves
We study the problem of constructing and enumerating, for any integers , number fields of degree whose ideal class groups have “large" -rank. Our technique relies fundamentally on Hilbert’s irreducibility theorem and results on integral points of bounded degree on curves.
Il n'y a pas de variété abélienne sur Z.
Implementing 2-descent for Jacobians of hyperelliptic curves
Improper Eisenstein Series on Bruhat-Tits Trees.
Improved bounds on the number of low-degree points on certain curves
Improved upper bounds for the number of points on curves over finite fields
We give new arguments that improve the known upper bounds on the maximal number of rational points of a curve of genus over a finite field , for a number of pairs . Given a pair and an integer , we determine the possible zeta functions of genus- curves over with points, and then deduce properties of the curves from their zeta functions. In many cases we can show that a genus- curve over with points must have a low-degree map to another curve over , and often this is enough to...
Indépendance algébrique et exponentielle de Carlitz
Indice des unités elliptiques dans les -extensions
Nous comparons le comportement dans les -extensions du nombre de classes d’idéaux avec le comportement de l’indice du groupe des unités elliptiques de Rubin.
Indices of double coverings of genus 1 over -adic fields
Inductivity of the global root number
Under suitable hypotheses, we verify that the global root number of a motivic L-function is inductive (invariant under induction).