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Problems from the workshop on Automorphisms of Curves (Leiden, August, 2004)

Gunther Cornelissen, Frans Oort (2005)

Rendiconti del Seminario Matematico della Università di Padova

In the week of August, 16th-20th of 2004, we organized a workshop about “Automorphisms of Curves” at the Lorentz Center in Leiden. The programme included two “problem sessions”. Some of the problems presented at the workshop were written down; this is our edition of these refereed and revised papers. Edited by Gunther Cornelissen and Frans Oort with contributions of I. Bouw; T. Chinburg; G. Cornelissen; C. Gasbarri; D. Glass; C. Lehr; M. Matignon; F. Oort; R. Pries; S. Wewers.

Projectively Normal Line Bundles on K-Gonal Curves and Rational Surfaces

Ballico, E., Keem, C. (2005)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 14H50.Here we prove the projective normality of several special line bundles on a general k-gonal curve.* The author was partially supported by MIURST and GNSAGA of INdAM (Italy) ** The author was partially supported by KOSEF # R01-2002-000-00051-0

Propriétés de descente des variétés à fibré cotangent ample

Mireille Martin-Deschamps (1984)

Annales de l'institut Fourier

On généralise ici un théorème de Grauert-Manin pour les courbes (problème de Mordell pour les corps de fonctions). Soit L un corps de fonctions algébriques sur un corps algébriquement clos k de caractéristique 0, X une variété propre et lisse sur L , dont le fibré cotangent Ω X / L 1 est ample; si l’ensemble de ses points rationnels est Zariski-dense, la variété X se redescend sur k .

Prym Subvarieties P λ of Jacobians via Schur correspondences between curves

Yashonidhi Pandey (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Let π : Z → X denote a Galois cover of smooth projective curves with Galois group W a Weyl group of a simple Lie group G . For a dominant weight λ , we consider the intermediate curve Y λ = Z / Stab ( λ ) . One defines a Prym variety P λ ⊂ Jac ( Y λ ) and we denote by ϕ λ the restriction of the principal polarization of Jac ( Y λ ) upon P λ . For two dominant weights λ and μ , we construct a correspondence S λ μ on Y λ × Y μ and calculate the pull-back of ϕ μ by S λ μ in terms of ϕ λ .

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