Schottky uniformization theory on Riemann surfaces and Mumford curves of infinite genus.
Schottky-Jung Relations and Vectorbundles on Hyperelliptic Curves.
Second order theta divisors on Pryms
Siegel modular forms vanishing on the moduli space.
Singular locus of the theta divisor for vector bundles of rank two.
Singularities of -divisors in the jacobian
We consider the linear system of second order theta functions over the Jacobian of a non-hyperelliptic curve . A result by J.Fay says that a divisor contains the origin with multiplicity if and only if contains the surface . In this paper we generalize Fay’s result and some previous work by R.C.Gunning. More precisely, we describe the relationship between divisors containing with multiplicity , divisors containing the fourfold , and divisors singular along , using the third exterior...
Singularities of theta divisors and the geometry of
We study the codimension two locus in consisting of principally polarized abelian varieties whose theta divisor has a singularity that is not an ordinary double point. We compute the class for every . For , this turns out to be the locus of Jacobians with a vanishing theta-null. For , via the Prym map we show that has two components, both unirational, which we describe completely. We then determine the slope of the effective cone of and show that the component of the Andreotti-Mayer...
Some Curves in Abelian Varieties.
Some loci in Teichmüller space for genus seven defined by vanishing thetanulls.
Some product formulas for theta functions in one and two variables
Some Remarks on the Equations Defining Abelian Varieties.
Some remarks on the moduli space of principally polarized abelian varieties with level -structure
Sommes de Dedekind elliptiques et formes de Jacobi
À partir des formes de Jacobi , on construit une somme de Dedekind elliptique. On obtient ainsi un analogue elliptique aux sommes multiples de Dedekind construites à partir des fonctions cotangentes, étudiées par D. Zagier. En outre, on établit une loi de réciprocité satisfaite par ces nouvelles sommes. Par une procédure de limite, on peut retrouver la loi de réciprocité remplie par les sommes multiples de Dedekind classiques. D’autre part, en les spécialisant en des paramètres de points de 2- division,...
Special values of the elliptic modular function and factorization formulae.
Spectral curves and the generalised theta divisor.
Sui sistemi di bifattori in caratteristica positiva
Sur des cas de réductions des fonctions de plusieurs variables à des fonctions d’un moindre nombre de variables
Sur la réduction des intégrales abéliennes
Sur la réduction du nombre des périodes des intégrales abéliennes et, en particulier, dans le cas des courbes du second genre
Sur le théorème de Torelli pour les solides doubles quartiques