Cornell Univ, Dept Math, Ithaca, NY 14853 USA. Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England. Limburgs Univ Ctr, Dept Math Phys & Informat, B-3590 Diepenbeek, Belgium.Berest, Y, Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA.

Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh)

A criterion for the existence of a parabolic stable bundle of rank two over the projective line

Fibrés génériques sur le plan projectif

We study in detail locally Cohen-Macaulay curves in P 3 which are contained in a double plane 2H, thus completing the classification of curves lying on surfaces of degree two. We describe the irreducible components of the Hilbert schemes Hd,g(2H) of lo- cally Cohen-Macaulay curves in 2H of degree d and arithmetic genus g, and we show that Hd,g(2H) is connected. We also discuss the Rao module of these curves and liaison and biliaison equiva- lence classes.

/pdf/curves-in-the-double-plane-5bc1rwaz5l.pdf

Curves in the double plane

Quelques plongements projectifs non speciaux de surfaces rationnelles

/pdf/le-probleme-de-brill-noether-pour-les-ideaux-de-p-2-2ffejl5qs7.pdf

Le problème de Brill-Noether pour les idéaux de ${P}^2$

© Foundation Compositio Mathematica, 1984, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

Variété des droites sauteuses du fibré instanton général

Droites de saut des fibrés stables de rang élevé sur ℙ2

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Le problème de Brill-Noether pour les idéaux de ${P}^2$

Variété des droites sauteuses du fibré instanton général

Droites de saut des fibrés stables de rang élevé sur ℙ2