Fonctions theta du second ordre sur la jacobienne d'une courbe lisse.
Fuchsian groups and uniformization of Hurwitz spaces.
Generalized SU (2) theta functions.
Higher genus abelian functions associated with cyclic trigonal curves.
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.
La dimension de l'espace des sections du diviseur thêta généralisé
Local structure of the moduli space of vector bundles over curves.
Moduli of metaplectic bundles on curves and theta-sheaves
Note on a formula relating to the zero-value of a theta-function.
On cubics and quartics through a canonical curve
We construct families of quartic and cubic hypersurfaces through a canonical curve, which are parametrized by an open subset in a grassmannian and a Flag variety respectively. Using G. Kempf’s cohomological obstruction theory, we show that these families cut out the canonical curve and that the quartics are birational (via a blowing-up of a linear subspace) to quadric bundles over the projective plane, whose Steinerian curve equals the canonical curve
On curves with a theta-characteristic whose space of sections has dimension 4.
On rank semistable vector bundles over an irreducible nodal curve of genus
Sia una curva irriducibile nodale di genere aritmetico . In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango , su .
On the period matrix of a Riemann surface of large genus (with an Appendix by J. H. Conway and N. J. A. Sloane).
Periodic solitons and real algebraic curves.
We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.
Pryum varieties and the Verlinde formula.
Recovering of curves with involution by extended Prym data.
Remarques sur l'emploi de la méthode précédente
Sammlung von Formeln welche bei Anwendung der elliptischen und Rosenhain'schen Functionen gebraucht werden [Book]
Schottky uniformization theory on Riemann surfaces and Mumford curves of infinite genus.
Second order theta divisors on Pryms