Fonctions thêta et points de torsion des variétés abéliennes
For which Jacobi varities is Sing ... reducible?
Formal groups in genus two.
Further investigations on the double ...-functions.
Generalised elliptic functions
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches. These functions arise naturally as solutions to some of the important equations of mathematical physics and their differential equations, addition formulae, and applications have all been recent topics of study. The first approach discussed...
Generalized SU (2) theta functions.
Generalized Weierstrass ...-functions and KP flows in affine spaces.
Geometry of KDV(4): Abel sums, Jacobi variety, and theta function in the scattering case.
Infinite Grassmannians and moduli spaces of G-bundles.
Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.
Kurze Ableitung der Riemannschen Thetaformel.
La dimension de l'espace des sections du diviseur thêta généralisé
Le lieu des variétés abéliennes dont le diviseur thêta est singulier a deux composantes
Le problème de Schottky et la conjecture de Novikov
Les fonctions thêta d'une courbe de Mumford
Line bundles on toroidal groups.
Maps defined by Thetanullwerte.
Minimal sections of conic bundles
Sia un fibrato in coniche standard con curva discriminante di grado . La varietà delle sezioni minime delle superfici , dove è una curva di grado , si spezza in due componenti e . Si prova che, mediante la mappa di Abel-Jacobi , una di queste componenti domina la Jacobiana intermedia , mentre l'altra domina il divisore theta . Questi risultati vengono applicati ad alcuni threefold di Fano birazionalmente equivalenti a un fibrato in coniche. In particolare si prova che il generico...
Modular forms vanishing at the reducible points of the Siegel upper-half space.
Multiplikatorensysteme der symplektischen Thetagruppe.