Counting curves on the plane blown up in three collinear points

David Bourqui[1]

  • [1] Université de Rennes 1 IRMAR Campus de Beaulieu 35042 Rennes cedex (France)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 5, page 1847-1895
  • ISSN: 0373-0956

Abstract

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We prove a version of Manin’s conjecture for the projective plane blown up in three collinear points, the base field being a global field of positive characteristic.

How to cite

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Bourqui, David. "Comptage de courbes sur le plan projectif éclaté en trois points alignés." Annales de l’institut Fourier 59.5 (2009): 1847-1895. <http://eudml.org/doc/10442>.

@article{Bourqui2009,
abstract = {Nous établissons une version de la conjecture de Manin pour le plan projectif éclaté en trois points alignés, le corps de base étant un corps global de caractéristique positive.},
affiliation = {Université de Rennes 1 IRMAR Campus de Beaulieu 35042 Rennes cedex (France)},
author = {Bourqui, David},
journal = {Annales de l’institut Fourier},
keywords = {Manin’s conjecture; height zeta function; global field of positive characteristic; rational surface; universal torsors; Cox rings},
language = {fre},
number = {5},
pages = {1847-1895},
publisher = {Association des Annales de l’institut Fourier},
title = {Comptage de courbes sur le plan projectif éclaté en trois points alignés},
url = {http://eudml.org/doc/10442},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Bourqui, David
TI - Comptage de courbes sur le plan projectif éclaté en trois points alignés
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 5
SP - 1847
EP - 1895
AB - Nous établissons une version de la conjecture de Manin pour le plan projectif éclaté en trois points alignés, le corps de base étant un corps global de caractéristique positive.
LA - fre
KW - Manin’s conjecture; height zeta function; global field of positive characteristic; rational surface; universal torsors; Cox rings
UR - http://eudml.org/doc/10442
ER -

References

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  13. B. Hassett, Equations of universal torsors and Cox rings, Mathematisches Institut, Georg-August-Universität Göttingen : Seminars Summer Term 2004 (2004), 135-143, Universitätsdrucke Göttingen, Göttingen Zbl1108.14304MR2183138
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