On Bănică sheaves and Fano manifolds

Edoardo Ballico; Jarosław A. Wisniewski

Compositio Mathematica (1996)

  • Volume: 102, Issue: 3, page 313-335
  • ISSN: 0010-437X

How to cite


Ballico, Edoardo, and Wisniewski, Jarosław A.. "On Bănică sheaves and Fano manifolds." Compositio Mathematica 102.3 (1996): 313-335. <http://eudml.org/doc/90456>.

author = {Ballico, Edoardo, Wisniewski, Jarosław A.},
journal = {Compositio Mathematica},
keywords = {Bănică sheaf},
language = {eng},
number = {3},
pages = {313-335},
publisher = {Kluwer Academic Publishers},
title = {On Bănică sheaves and Fano manifolds},
url = {http://eudml.org/doc/90456},
volume = {102},
year = {1996},

AU - Ballico, Edoardo
AU - Wisniewski, Jarosław A.
TI - On Bănică sheaves and Fano manifolds
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 102
IS - 3
SP - 313
EP - 335
LA - eng
KW - Bănică sheaf
UR - http://eudml.org/doc/90456
ER -


  1. [ABW] Andreatta, M., Ballico, E. and Wiśniewski, J.: Vector bundles and adjunction, Int. J. Math.3 (1992) 331-340. Zbl0770.14008MR1163727
  2. [AW] Andreatta, M. and Wiśniewski, J.: A note on non-vanishing and applications, Duke Math. J.72 (1993) 739-755. Zbl0853.14003MR1253623
  3. [B] Bănică, C.: Smooth reflexive sheaves, Revue Romaine Math. Pures Appl.63 (1991) 571-573. Zbl0773.14005MR1172165
  4. [BC] Bănică, C. and Coandă, I.: Existance of rank 3 vector bundles on homogeneous rational 3-folds, Manuscr. Math.51 (1986) 121-143. Zbl0571.14008
  5. [BSW] Beltrametti, M., Sommese, A.J. and Wiśniewski, J.: Results on varieties with many lines and their applications to adjunction theory, in Complex Algebraic Varieties, Bayreuth1990, Lecture Notes in Math.1507, Springer-Verlag, 1992. Zbl0777.14012MR1178717
  6. [F1] Fujita, T.: On polarized manifolds whose adjoint bundles are not semipositive, in: Algebraic Geometry, Sendai1985, Adv. Studies in Math.10, pp. 167-178, Kinokuniya1987. Zbl0659.14002MR946238
  7. [F2] Fujita, T.: On adjoint bundle of ample vector bundles, in: Complex Algebraic Varieties, Bayreuth1990, Lecture Notes in Math.1507, Springer-Verlag, 1992. Zbl0782.14018MR1178722
  8. [G] Grothendieck, A.: EGA II, Publ. Math. IHES8 (1961). 
  9. [H1] Hartshorne, R.: Algebraic Geometry, Springer-Verlag1977. Zbl0367.14001MR463157
  10. [H2] Hartshorne, R.: Stable reflexive sheaves, Math. Ann.254 (1980) 121-176. Zbl0431.14004MR597077
  11. [H3] Hartshorne, R.: Ample vector bundles, Publ. Math. IHES29 (1966). Zbl0173.49003MR193092
  12. [HH] Hartshorne, R. and Hirschowitz, A.: Nouvelles curves de bon genre, Math. Ann.267 (1988) 353-367. Zbl0678.14007
  13. [I] Ionescu, P.: Generalized adjunction and applications, Math. Proc. Camb. Phil. Soc.99 (1988) 457-472. Zbl0619.14004MR830359
  14. [KaMM] Kawamata, Y., Matsuda, K. and Matsuki, K.: Introduction to the minimal model problem, in: Algebraic Geometry, Sendai1985, Advanced Studies in Pure Math.10 (1987) 283-360. Zbl0672.14006MR946243
  15. [Ke] Kempf, G. et al.: Toroidal embeddings, I, Lecture Notes in Math.339 (1973), Springer-Verlag. Zbl0271.14017MR335518
  16. [Ko] Kollár, J.: Higher direct images of dualizing sheaves, Annals of Math.123 (1986) 11-42. Zbl0598.14015MR825838
  17. [KMM] Kollár, J., Miyaoka, Y. and Mori, Sh.: Rational connectedness and boundness of Fano manifolds, J. Diff. Geom.36 (1992) 765-779. Zbl0759.14032MR1189503
  18. [OSS] Okonek, Ch., Schneider, M. and Spindler, H.: Vector bundles on complex projective spaces, Progress in Math.3, Birkhäuser, 1980. Zbl0438.32016MR561910
  19. [PSW1] Peternell, Th., Szurek, M. and Wiśniewski, J.: Numerically effective vector bundles with small Chern classes, in: Complex Algebraic Varieties, Bayreuth1990, Lecture Notes in Math.1507, Springer-Verlag, 1992. Zbl0781.14006MR1178725
  20. [PSW2] Peternell, Th., Szurek, M. and Wiśniewski, J.: Fano manifolds and vector bundles, Math. Ann. (1992) 151-165. Zbl0786.14027MR1180456
  21. [S] Sommese, A.J.: On the adjunction theoretic structure of projective varieties, in: Complex Analysis and Algebraic Geometry, Göttingen, 1985, Lecture Notes in Math.1194, Springer-Verlag, pp. 175-213. Zbl0601.14029MR855885
  22. [SW] Szurek, M. and Wiśniewski, J.: On Fano manifolds which are Pk-bundles over P2, Nagoya Math. J.120 (1990) 89-101. Zbl0728.14037MR1086572
  23. [W1] Wiśniewski, J.: On contractions of Fano manifolds, J. reine Angew. Math.417 (1990) 141-157. Zbl0721.14023MR1103910
  24. [W2] Wiśniewski, J.: Fano manifolds and quadric bundles, Math. Zeit.214 (1993) 261-271. Zbl0817.14020MR1240888
  25. [YZ] Ye, Y. and Zhang, Q.: On ample vector bundles whose adjunction bundles are not numerically effective, Duke Math. J.60 (1990) 671-687. Zbl0709.14011MR1054530

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.