Sur la restriction des faisceaux semi-stables

André Hirschowitz

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 2, page 199-207
  • ISSN: 0012-9593

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Hirschowitz, André. "Sur la restriction des faisceaux semi-stables." Annales scientifiques de l'École Normale Supérieure 14.2 (1981): 199-207. <http://eudml.org/doc/82072>.

@article{Hirschowitz1981,
author = {Hirschowitz, André},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {coherent sheaves; semi-stability; Harder-Narasimhan sequence},
language = {fre},
number = {2},
pages = {199-207},
publisher = {Elsevier},
title = {Sur la restriction des faisceaux semi-stables},
url = {http://eudml.org/doc/82072},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Hirschowitz, André
TI - Sur la restriction des faisceaux semi-stables
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 2
SP - 199
EP - 207
LA - fre
KW - coherent sheaves; semi-stability; Harder-Narasimhan sequence
UR - http://eudml.org/doc/82072
ER -

References

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  1. [B] W. BARTH, Some Properties of Stable Rank-2 Bundles on ℙn (Math. Ann., vol. 226, 1977, p. 125-150). Zbl0332.32021MR55 #2905
  2. [E] G. ELENCWAJG, Les fibrés uniformes de rang 3 sur ℙ2 (ℂ) sont homogènes (Math. Ann. vol. 231, 1978, p. 217-227). Zbl0378.14003MR58 #1278
  3. [EHS] G. ELENCWAJG, A. HIRSCHOWITZ et M. SCHNEIDER, Les fibrés uniformes de rang n sur ℙn sont ceux qu'on croit, Série Progress in Math., Birkhaüser (Boston) ; Vector Bundles and differential Equations (Proceedings, Progress in Math., n° 7, Birkhaüser, 1979, p. 37-63). Zbl0456.32009MR81k:14015
  4. [FHS] O. FORSTER, A. HIRSCHOWITZ et M. SCHNEIDER, Type de scindage généralisé pour les fibrés stables. Série Progress in Math., Birkhaüser (Boston) ; Vector Bundles and Differential Equations Proceedings (Progress in Math., n° 7, Birkhaüser, 1979, p. 65-81). Zbl0441.14007MR81k:14016
  5. [GM] H. GRAUERT et G. MÜLICH, Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum (Manuscripta math., vol. 16, 1975, p. 75-100, et complément ibid. vol. 18, 1976, p. 213-214). Zbl0318.32027
  6. [HN] G. HARDER et M. S. NARASIMHAN, On the Cohomology Groups of Moduli Spaces of Vector Bundles on Curves (Math. Ann., vol. 212, 1975, p. 215-248). Zbl0324.14006MR51 #509
  7. [M1] M. MARUYAMA, The Theorem of Grauert-Mülich-Spindler, Bonn, 1980 (Preprint). Zbl0438.14015
  8. [M2] M. MARUYAMA, Boundedness of Families of Torsion Free Sheaves, Bonn, 1980 (Preprint). 
  9. [M3] M. MARUYAMA, Boundedness of Semi-Stable Sheaves of Small Ranks (Nagoya J., vol. 78, 1980, p. 65-94). Zbl0456.14011MR81h:14015
  10. [P] Ch. PESKINE, Le lemme des trisecantes généralisé, conférence à Nice, mars 1980. 
  11. [Sch] S. SCHATZ, The Decomposition and Specialization of Algebraic Families of Vector Bundles (Compositio Math., vol. 35, 1977, p. 163-187). Zbl0371.14010MR58 #16668
  12. [Sp] H. SPINDLER, Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum (Math. Ann., vol. 243, 1979, p. 131-141). Zbl0435.32018MR81b:14008
  13. [VdV] A. VAN DE VEN, On Uniform Vector Bundles (Math. Ann., vol. 195, 1972, p. 245-248). Zbl0215.43202MR45 #276

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