Ample vector bundles

Robin Hartshorne

Publications Mathématiques de l'IHÉS (1966)

  • Volume: 29, page 63-94
  • ISSN: 0073-8301

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Hartshorne, Robin. "Ample vector bundles." Publications Mathématiques de l'IHÉS 29 (1966): 63-94. <http://eudml.org/doc/103864>.

@article{Hartshorne1966,
author = {Hartshorne, Robin},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {algebraic geometry},
language = {eng},
pages = {63-94},
publisher = {Institut des Hautes Études Scientifiques},
title = {Ample vector bundles},
url = {http://eudml.org/doc/103864},
volume = {29},
year = {1966},
}

TY - JOUR
AU - Hartshorne, Robin
TI - Ample vector bundles
JO - Publications Mathématiques de l'IHÉS
PY - 1966
PB - Institut des Hautes Études Scientifiques
VL - 29
SP - 63
EP - 94
LA - eng
KW - algebraic geometry
UR - http://eudml.org/doc/103864
ER -

References

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  1. [1] M. F. ATIYAH, Vector bundles over an elliptic curve, Proc. Lond. Math. Soc., 3, VII (1957), 414-452. Zbl0084.17305MR24 #A1274
  2. [2] A. BOREL, Groupes linéaires algébriques, Ann. Math., 64 (1956), 20-82. Zbl0070.26104MR19,1195h
  3. [3] A. BOREL and J.-P. SERRE, Le théorème de Riemann-Roch, Bull. soc. math. France, 86 (1958), 97-136. Zbl0091.33004MR22 #6817
  4. [4] Séminaire C. Chevalley 1956-58, Classification des groupes de Lie algébriques, Secr. math., I.H.P., Paris, 1958. Zbl0092.26301
  5. [5] R. GODEMENT, A Theory of spherical functions, I, with an Appendix : The classification of finite-dimensional representations of classical groups, Trans. Amer. Math. Soc., 73 (1952), 496-556. Zbl0049.20103MR14,620c
  6. [6] R. GODEMENT, Groupes linéaires algébriques sur un corps parfait, Sém. Bourbaki, 13 (1960-1961), exposé 206. Zbl0119.27206
  7. [7] H. GRAUERT, Ueber Modifikationen und exzeptionelle analytische Mengen, Math. Ann., 146 (1962), 331-368. Zbl0178.42702MR25 #583
  8. [8] A. GROTHENDIECK, Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math., 79 (1957), 121-138. Zbl0079.17001MR19,315b
  9. [9] EGA, A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique, Publ. Math., I.H.E.S., n°s 4, 8, 11, 17, 20, 24 (1960 ff). 
  10. [10] A. GROTHENDIECK, Local Cohomology, lecture notes by R. HARTSHORNE, Harvard, 1961. 
  11. [11] FGA, A. GROTHENDIECK, Fondements de la géométrie algébrique, Secrétariat Mathématique, I.H.P., Paris, 1962. Zbl0239.14002
  12. [12] Séminaire Sophus Lie 1954-55, Théorie des algèbres de Lie, Topologie des groupes de Lie, Secr. Math., I.H.P., Paris, 1955. Zbl0068.02102
  13. [13] Y. NAKAI, A criterion of an ample sheaf on a projective scheme, Amer. J. Math., 85 (1963), 14-26. Zbl0112.13102MR27 #1446

Citations in EuDML Documents

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  1. Norman Goldstein, Examples of non-ample normal bundles
  2. Michel Demazure, Caractérisations de l'espace projectif (conjectures de Hartshorne et de Frankel)
  3. Robin Hartshorne, Curves with high self-intersection on algebraic surfaces
  4. Hiroshi Umemura, Fibrés vectoriels positifs sur une courbe elliptique
  5. W. Fulton, S. Kleiman, R. Piene, H. Tai, Some intrinsic and extrinsic characterizations of the projective space
  6. Frédéric Campana, Thomas Peternell, On the second exterior power of tangent bundles of threefolds
  7. Mireille Martin-Deschamps, Propriétés de descente des variétés à fibré cotangent ample
  8. David Gieseker, Stable vector bundles and the frobenius morphism
  9. Christopher Hacon, Remarks on Seshadri constants of vector bundles
  10. A. Van de Ven, Some recent results on surfaces of general type

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