On a birational classification of bundles and reflexive sheaves on surfaces

E. Ballico

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 86, page 29-36
  • ISSN: 0041-8994

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Ballico, E.. "On a birational classification of bundles and reflexive sheaves on surfaces." Rendiconti del Seminario Matematico della Università di Padova 86 (1991): 29-36. <http://eudml.org/doc/108239>.

@article{Ballico1991,
author = {Ballico, E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {vector bundle on surface; birational equivalence},
language = {eng},
pages = {29-36},
publisher = {Seminario Matematico of the University of Padua},
title = {On a birational classification of bundles and reflexive sheaves on surfaces},
url = {http://eudml.org/doc/108239},
volume = {86},
year = {1991},
}

TY - JOUR
AU - Ballico, E.
TI - On a birational classification of bundles and reflexive sheaves on surfaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 86
SP - 29
EP - 36
LA - eng
KW - vector bundle on surface; birational equivalence
UR - http://eudml.org/doc/108239
ER -

References

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  1. [AS1] M. Andreatta - A.J. Sommese, Generically ample divisors on normal Gorenstein surfaces, in: Singularities, Contemporary Math., 90 (1989), pp. 1-19. Zbl0687.14005MR1000592
  2. [AS2] M. Andreatta - A.J. Sommese, Classification of irreducible projective surfaces of smooth section genus ≤ 3, preprint. Zbl0719.14025
  3. [B] E. Ballico, On moduli of vector bundles on rational surfaces, Arch. Math., 49 (1987), pp. 267-272. Zbl0611.14008MR906741
  4. [B1] E. Ballico, On globally generated vector bundles on surfaces with c2 =1, Geom. Dedicata, 27 (1988), pp. 319-324. Zbl0664.14009MR960203
  5. [B2] E. Ballico, Rank-2 vector bundles on a surface with many sections and low c2, Geom. Dedicata, 29 (1989), pp. 109-124. Zbl0685.14011MR989190
  6. [B3] E. Ballico, Rank-2 vector bundles on a surface with many spread sections, Indiana Univ. Math. J., 38 (1989), pp. 471-487. Zbl0673.14009MR997392
  7. [B4] E. Ballico, On reflexive sheaves with low sectional genera on three-folds, preprint. Zbl0752.14012MR1149947
  8. [Br] R. Brussee, Stable bundles on blown up surfaces, Math. Z. (to appear). Zbl0695.14005MR1082874
  9. [Ii] S. Iitaka, Deformation of compact complex surfaces, II, J. Math. Soc. Japan, 22 (1970), pp. 247-261. Zbl0188.53401MR261639
  10. [K] C. Kahn, Reflexive Moduln auf einfach-elliptischen Flachensingularitaten, preprint Max-Plank-Institut MPI 87/25. Zbl0674.14025MR930666
  11. [M] M. Maruyama, Elementary transformations of algebraic vector bundles, in: Algebraic Geometry - Proceedings, La Rabida, Springer. Lect. Notes in Math., 961 (1983), pp. 241-266. Zbl0505.14009MR708337
  12. [Mu] D. Mumford, Lectures on curves on an algebraic surface, Annals of Math. Studies, 59, Princeton Univ. Press, N.J., 1966. Zbl0187.42701MR209285
  13. [R] I. Reider, Vector bundles of rank-2 and linear systems on algebraic surfaces, Ann. of Math., 127 (1988), pp. 309-316. Zbl0663.14010MR932299
  14. [W] J. Wisniewski, Length of extremal rays and generalized adjunction, Math. Z., 200 (1989), pp. 409-427. Zbl0668.14004MR978600

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