Sur le groupe de Picard de l’espace de modules des fibrés stables sur ℙ 2

J. Le Potier

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 2, page 141-155
  • ISSN: 0012-9593

How to cite

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Le Potier, J.. "Sur le groupe de Picard de l’espace de modules des fibrés stables sur $\mathbb {P}_2$." Annales scientifiques de l'École Normale Supérieure 14.2 (1981): 141-155. <http://eudml.org/doc/82069>.

@article{LePotier1981,
author = {Le Potier, J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Maruyama schema; stable algebraic vector bundle; Picard group; canonical class},
language = {fre},
number = {2},
pages = {141-155},
publisher = {Elsevier},
title = {Sur le groupe de Picard de l’espace de modules des fibrés stables sur $\mathbb \{P\}_2$},
url = {http://eudml.org/doc/82069},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Le Potier, J.
TI - Sur le groupe de Picard de l’espace de modules des fibrés stables sur $\mathbb {P}_2$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 2
SP - 141
EP - 155
LA - fre
KW - Maruyama schema; stable algebraic vector bundle; Picard group; canonical class
UR - http://eudml.org/doc/82069
ER -

References

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  1. [1] W. BARTH, Some Properties of Rank-2 Vector Bundles on ℙn (Math. Ann., vol. 226, 1977, p. 125-150). Zbl0332.32021MR55 #2905
  2. [2] W. BARTH, Moduli of Vector Bundles on the Projective Plane (Invent. math., vol. 42, 1977, p. 63-91). Zbl0386.14005MR57 #324
  3. [3] W. BARTH, et ELENCWAJG, Concernant la cohomologie des fibrés algébriques stables sur ℙn (ℂ), Variétés analytiques complexes, Nice, 1977, (Lecture Notes in Math, n° 683, 1978, p. 1-24, Springer, Berlin. Zbl0381.55005
  4. [4] A. BOREL, Introduction aux groupes arithmétiques, Hermann, Paris, 1969. Zbl0186.33202MR39 #5577
  5. [5] G. ELLINGSRUD et S. A. STRØMME, The Picard Group of the Moduli Space for Stable Rank-2 Vector Bundles on ℙ2 with odd First Chern Class, Preprint Series, Oslo, 1979. 
  6. [6] R. HARTSHORNE, Algebraic Geometry, Springer, Berlin, 1977. Zbl0367.14001MR57 #3116
  7. [7] J. LE POTIER, Fibrés stables de rang 2 sur ℙ2 (ℂ) (Math. Ann., vol. 241, 1979, p. 217-256). Zbl0405.14008MR80m:14012
  8. [8] M. MARUYAMA, Stables Vector Bundles on an Algebraic Surface (Nagoya math. J., vol. 58, 1975, p. 25-68). Zbl0337.14026MR53 #439
  9. [9] C. S. SESHADRI, Mumford's Conjecture for GL (2) and Applications (Algebraic Geometry, Bombay, Colloquium, 1968-1969, p. 347-371). Zbl0194.51702MR41 #6858
  10. [10] C. T. C. WALL, Nets of Quadrics, and Theta-Characteristics of Singular Curves, (Math. Proc. Camb. Phil. Soc., vol. 81, 1977, p. 351-364). Zbl0351.14032MR55 #5652

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