Self-duality equation: Monodromy matrices and algebraic curves
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...
Sur certaines expressions quadruplement périodiques
Sur les fonctions de deux variables quadruplement périodiques de troisième espèce
Sur une méthode élémentaire pour obtenir les développements en série trigonométrique des fonctions elliptiques
The fibre of the Prym map in genus four
In questa nota si dà una descrizione della fibra della mappa di Prym in genere 4. Se è la Jacobiana di una curva di genere 3, allora la fibra della mappa di Prym in si ottiene dalla varietà di Kummer mediante due scoppiamenti: che è lo scoppiamento di nell'origine e che è lo scoppiamento lungo una curva isomorfa a .
The K.P. Hypothesis for decomposable Abelian Varieties.
The small Schottky-Jung locus in positive characteristics different from two
We prove that the locus of Jacobians is an irreducible component of the small Schottky locus in any characteristic different from . The proof follows an idea of B. van Geemen in characteristic and relies on a detailed analysis at the boundary of the - expansion of the Schottky-Jung relations. We obtain algebraically such relations using Mumford’s theory of -adic theta functions. We show how the uniformization theory of semiabelian schemes, as developed by D. Mumford, C.-L. Chai and G. Faltings,...
The trisecant conjecture.
The universal periods of curves and the Schottky problem
Theta-caracteristiques des courbes tracees sur une surface lisse.
Thetanullwerte on a moduli space of curves and hyperelliptic loci.
Ueber die algebraischen Charakteristiken der hyperelliptischen Thetafunctionen
Ueber die Form der Argumente der Thetafunctionen und über die Bestimmung von ... (0, 0, ... 0) als Function der Klassenmoduln.
Ueber die Jacobischen Functionen dreier Variabeln.
Ueber die Kummersche Fläche vierter Ordnung mit sechzehn Knotenpunkten und ihre Beziehung zu den Thetafunctionen mit zwei Veränderlichen.
Ueber die Normirung der Borchardt'schen Moduln der hyperelliptischen Functionen vom Geschlechte p = 2
Ueber gewisse Theilwerthe der ...-Function
Ueber hyperelliptische Sigmafunctionen. (Zweite Abhandlung).
Ueber Thetafunctionen, die nach einer Transformation in ein Product von Thetafunctionen zerfallen