Variété des droites sauteuses du fibré instanton général

Jérome Brun; André Hirschowitz

Compositio Mathematica (1984)

  • Volume: 53, Issue: 3, page 325-336
  • ISSN: 0010-437X

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Brun, Jérome, and Hirschowitz, André. "Variété des droites sauteuses du fibré instanton général." Compositio Mathematica 53.3 (1984): 325-336. <http://eudml.org/doc/89691>.

@article{Brun1984,
author = {Brun, Jérome, Hirschowitz, André},
journal = {Compositio Mathematica},
keywords = {jumping line; Grassmannian; general instanton bundle},
language = {fre},
number = {3},
pages = {325-336},
publisher = {Martinus Nijhoff Publishers},
title = {Variété des droites sauteuses du fibré instanton général},
url = {http://eudml.org/doc/89691},
volume = {53},
year = {1984},
}

TY - JOUR
AU - Brun, Jérome
AU - Hirschowitz, André
TI - Variété des droites sauteuses du fibré instanton général
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 53
IS - 3
SP - 325
EP - 336
LA - fre
KW - jumping line; Grassmannian; general instanton bundle
UR - http://eudml.org/doc/89691
ER -

References

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  1. [1] W. Barth: Some Properties of stable rank-two vector bundles on Pn. Math Ann.226 (1977) 125-150. Zbl0332.32021MR429896
  2. [2] W. Barth: Counting singularities of quadratic forms on vector bundles. In: Vector Bundles and Differential Equations. Proceedings (Nice1979) pp. 1-19. Progress in Mathematics 7. Boston-Basel-Stuttgart: Birkhäuser1980. Zbl0442.14021MR589218
  3. [3] W. Barth: Irreducibility of the space mathematical instanton bundles with Rank 2, c2 = 4. Math. Ann.258 (1981) 81-106. Zbl0477.14014MR641670
  4. [4] A. Borel et F. Hirzebruch: On characteristic classes of homogeneous spaces II, Am. J. Math.81 (1959) 351-382. Zbl0097.36401MR110105
  5. [5] E. Brieskorn: Über holomorphe Pn-Bündel über P 1. Math. Ann.157, (1967) 343-357. Zbl0128.17003MR230335
  6. [6] J. Brun et A. Hirschowitz: Droites de saut des fibrés stables de rang élevé sur P2. Math. Z.181 (1982) 171-178. Zbl0473.14005MR674269
  7. [7] J. Brun et A. Hirschowitz: Variété des plans sauteurs du fibré instanton général, en préparation. 
  8. [8] G. Ellingsrud et S.A. Strømme: Stable rank-2 vector bundles on P 3 with c1 = 0 and c2 = 3. Math. Ann.255 (1981) 123-135. Zbl0438.14009MR611278
  9. [9] L. Gruson et C. Peskine: Courbes de l'espace projectif: variétés de sécantes. In: Enumerative and Algebraic Geometry. Nice (1981). Progress in Mathematics, Birkhäuser. Zbl0531.14020
  10. [10] R. Hartshorne: Stable vector bundles of rank 2 on P3. Math. Ann.238 (1978) 229-280. Zbl0411.14002MR514430
  11. [11] W. Hodge et D. Pedoe: Methods of Algebraic Geometry. Volume II. Cambridge University Press1952. Zbl0796.14001MR1288306
  12. [12] G. Kempf et D. Laksov: The determinantal formula of Schubert calculus. Acta Math.132 (1973) 153-162. Zbl0295.14023MR338006
  13. [13] J. Bertin et I. Sols: Quelques formules énumératives concernant les fibrés vectoriels sur Pr. C.R. Acad. Sci. Paris294 (1982) 197-200. Zbl0504.14012MR653573

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