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D-elliptic sheaves and the Langlands correspondence.

M. Rapoport, U. Stuhler, G. Laumon (1993)

Inventiones mathematicae

Démonstration de la conjecture de Mumford

Michel Demazure (1974/1975)

Séminaire Bourbaki

Denominators of Igusa class polynomials

Kristin Lauter, Bianca Viray (2014)

Publications mathématiques de Besançon

In [22], the authors proved an explicit formula for the arithmetic intersection number $(CM (K) . G_{1})$ on the Siegel moduli space of abelian surfaces, under some assumptions on the quartic CM field $K$ . These intersection numbers allow one to compute the denominators of Igusa class polynomials, which has important applications to the construction of genus $2$ curves for use in cryptography. One of the main tools in the proof was a previous result of the authors [21] generalizing the singular moduli formula of Gross...

Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.)

Waldschmidt, Michel (1994)

Experimental Mathematics

Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).)

Waldschmidt, Michel (1995)

Experimental Mathematics

Density of rational points on cyclic covers of $ℙ^{n}$

Ritabrata Munshi (2009)

Journal de Théorie des Nombres de Bordeaux

We obtain upper bound for the density of rational points on the cyclic covers of $ℙ^{n}$ . As $n \to \infty$ our estimate tends to the conjectural bound of Serre.