Fibrés stables et fibrés exceptionnels sur
Annales scientifiques de l'École Normale Supérieure (1985)
- Volume: 18, Issue: 2, page 193-243
- ISSN: 0012-9593
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topDrezet, J.-M., and Le Potier, J.. "Fibrés stables et fibrés exceptionnels sur $\mathbb {P}_2$." Annales scientifiques de l'École Normale Supérieure 18.2 (1985): 193-243. <http://eudml.org/doc/82158>.
@article{Drezet1985,
author = {Drezet, J.-M., Le Potier, J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {flag; filtration; rigidity; rank r stable vector bundle; Chern classes; moduli space of torsion-free semi-stable sheaves; exceptional bundles},
language = {fre},
number = {2},
pages = {193-243},
publisher = {Elsevier},
title = {Fibrés stables et fibrés exceptionnels sur $\mathbb \{P\}_2$},
url = {http://eudml.org/doc/82158},
volume = {18},
year = {1985},
}
TY - JOUR
AU - Drezet, J.-M.
AU - Le Potier, J.
TI - Fibrés stables et fibrés exceptionnels sur $\mathbb {P}_2$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1985
PB - Elsevier
VL - 18
IS - 2
SP - 193
EP - 243
LA - fre
KW - flag; filtration; rigidity; rank r stable vector bundle; Chern classes; moduli space of torsion-free semi-stable sheaves; exceptional bundles
UR - http://eudml.org/doc/82158
ER -
References
top- [1] M. F. ATIYAH et R. BOTT, The Yang-Mills Equations Over Riemann Surfaces (Phil. Trans. Roy. Soc. London A, 308, 1982, p. 523-615). Zbl0509.14014MR85k:14006
- [2] W. BARTH, Moduli of Vector Bundles on the Projective Plane (Inventiones math., vol. 42, 1977, p. 63-91). Zbl0386.14005MR57 #324
- [3] E. BRIESKORN, Über holomorphe ℙn-Bündel über ℙ1 (Math. Ann., vol. 157, 1967, p. 343-357). Zbl0128.17003MR37 #5897
- [4] J. BRUN et A. HIRSCHOWITZ, Droites de saut des fibrés stables de rang élevé sur ℙ2 (Math. Z., vol. 181, 1982, p. 171-178). Zbl0473.14005MR84a:14007
- [5] J. M. DREZET, Fibrés uniformes de type (0, ..., 0, -1, ..., -1) sur ℙ2 (Journal für die reine and angewandte Mathematik, vol. 325, 1981, p. 1-27). Zbl0451.55013MR82j:14011
- [6] G. ELLINGSRUD, Sur l'irréductibilité du module des fibrés stables sur ℙ2, Preprint, Nice, 1982.
- [7] D. GIESEKER, On the Moduli of Vector Bundles on an Algebraic Surface (Ann. of Math., 106, 1977, p. 45-60). Zbl0381.14003MR81h:14014
- [8] A. GROTHENDIECK, Techniques de construction en géométrie algébrique (Sem. Bourbaki, vol. 221, 1961). Zbl0236.14003
- [9] J. FOGARTY, Algebraic Families on an Algebraic Surface (Amer. J. of Math., vol. 90, 1968, p. 511-521). Zbl0176.18401MR38 #5778
- [10] 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
- [11] R. HARTSHORNE, Algebraic Geometry, Springer-Verlag, New York, 1977. Zbl0367.14001MR57 #3116
- [12] K. HULEK, On the Classification of Stable Rank-r Vector Bundles over the Projective Plane (Vector Bundles and Differential Equations, Progress in Math., vol. 7, 1980, p. 113-114, Proceedings, Nice, 1979). Zbl0446.14006MR82b:14012
- [13] J. LE POTIER, Fibrés stables de rang 2 sur ℙ2 (ℂ) (Math. Annalen, vol. 241, 1979, p. 217-256). Zbl0405.14008MR80m:14012
- [14] J. LE POTIER, Stabilité et amplitude sur ℙ2(ℂ). Vector Bundles and Differential Equations, Proceedings, Nice, 1979 (Progress in Math., vol. 7, 1980, p. 146-181). Zbl0508.14010
- [15] J. LE POTIER, Un critère de lissité pour le module de Douady-Grothendieck, Preprint.
- [16] M. MARUYAMA, Moduli of Stable Sheaves II (Journal of Mathematics of Kyoto University, vol. 18, n° 3, 1978, p. 557-614). Zbl0395.14006MR82h:14011
- [17] R. L. E. SCHWARZENBERGER, Vector Bundles on Algebraic Surfaces (Proc. London Math. Soc., (3), n° 11, 1961, p. 601-622). Zbl0212.26003MR25 #1160
- [18] R. L. E. SCHWARZENBERGER, Vector Bundles on the Projective Plane (Proc. London Math. Soc., (3), n° 11, 1961, p. 623-640). Zbl0212.26004MR25 #1161
- [19] C. S. SESHADRI, Mumford's Conjecture for GL(2) and Applications (Algebraic Geometry, Bombay Colloquium, 1968-1969, p. 347-371). Zbl0194.51702MR41 #6858
- [20] S. SHATZ, The Decomposition and Specialization of Algebraic Families of Vector Bundles (Compositio Mathematica, vol. 35, (2), 1977, p. 163-187). Zbl0371.14010MR58 #16668
- [21] J. L. VERDIER, Instantons, Les équations de Yang-Mills (Astérisque, vol. 71-72, 1980, p. 105-134). MR84j:14026
Citations in EuDML Documents
top- Joseph Le Potier, À propos de la construction de l'espace de modules des faisceaux semi-stables sur le plan projectif
- Maria Chiara Brambilla, Simplicity of generic Steiner bundles
- Maria Chiara Brambilla, Semplicità di fibrati vettoriali su e fibrati eccezionali
- Giorgio Ottaviani, Elena Rubei, Resolutions of homogeneous bundles on
- K. Hulek, Joseph Le Potier, Sur l’espace de modules des faisceaux semi stables de rang 2, de classes de Chern (0,3) sur
- D. Yu. Nogin, Helices on some Fano threefolds : constructivity of semiorthogonal bases of
- Jean-Marc Drezet, Groupe de Picard des variétés de modules de faisceaux semi-stables sur
- Jean-Marc Drézet, Günther Trautmann, Moduli spaces of decomposable morphisms of sheaves and quotients by non-reductive groups
- Jean-Marc Drezet, Variétés de modules alternatives
- Carla Dionisi, Marco Maggesi, Minimal resolution of general stable rank-2 vector bundles on
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