On the second exterior power of tangent bundles of threefolds

Frédéric Campana; Thomas Peternell

Compositio Mathematica (1992)

  • Volume: 83, Issue: 3, page 329-346
  • ISSN: 0010-437X

How to cite

top

Campana, Frédéric, and Peternell, Thomas. "On the second exterior power of tangent bundles of threefolds." Compositio Mathematica 83.3 (1992): 329-346. <http://eudml.org/doc/90172>.

@article{Campana1992,
author = {Campana, Frédéric, Peternell, Thomas},
journal = {Compositio Mathematica},
keywords = {nef tangent bundles; 3-folds; Fano manifold},
language = {eng},
number = {3},
pages = {329-346},
publisher = {Kluwer Academic Publishers},
title = {On the second exterior power of tangent bundles of threefolds},
url = {http://eudml.org/doc/90172},
volume = {83},
year = {1992},
}

TY - JOUR
AU - Campana, Frédéric
AU - Peternell, Thomas
TI - On the second exterior power of tangent bundles of threefolds
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 3
SP - 329
EP - 346
LA - eng
KW - nef tangent bundles; 3-folds; Fano manifold
UR - http://eudml.org/doc/90172
ER -

References

top
  1. [BPV] Barth, W., Peters, C., and van de Ven, A., Compact complex surfaces. Erd. d. Math. Bd. 3, Springer1984. Zbl0718.14023MR749574
  2. [CP] Campana, F., and Peternell, Th., Manifolds whose tangent bundles are numerically effective. Math. Ann.289, 169-187 (1991). Zbl0729.14032MR1087244
  3. [Fu] Fulton, W., Intersection Theory. Erg. d. Math.2. Springer1984. Zbl0541.14005
  4. [Ha] Hartshorne, R., Ample vector bundles. Publ. Math. IHES29, 319-350 (1966). Zbl0173.49003MR193092
  5. [Is] Iskovskih, V.A., Fano 3-folds I, II. Math. USSR Isv.11, 485-527 (1977),ibid. 12, 469-506 (1978). Zbl0424.14012
  6. [ISh] Iskovskih, V.A. and Shokurov, V.V., Biregular theory of Fano 3-folds. Lecture Notes in Math.732, 171-182Springer1978. Zbl0417.14025MR555698
  7. [Ko] Kobayashi, Ochiai, T., Characterizations of complex projective spaces and hyperquadrics. J. Math. Kyoto Univ.13, 31-47 (1973). Zbl0261.32013MR316745
  8. [MM] Mori, S. and Mukai, S., On Fano 3-folds with b2 ≽ 2. Adv. Studies in Math.1, 101-129 (1983). Zbl0537.14026
  9. [Mo] Mori, S., Threefolds whose canonical bundles are not numerically effective. Ann. Math.116, 133-176 (1982). Zbl0557.14021MR662120
  10. [P] Peternell, Th., Calabi-Yau manifolds and a conjecture of Kobayashi. Math. Z.207, 305-318 (1991). Zbl0735.14028MR1109668
  11. [Sh] Shokurov, V.V., The existence of a straight line on Fano 3-folds. Math. USSR Isv.15, 173-209 (1980). Zbl0444.14027
  12. [D] Demazure, M., Surface de del Pezzo I-V, Lecture Notes in Math.777, 23-70. Springer1980. Zbl0444.14024
  13. [Y] Yau, S.T., Calabi's conjecture and some new results in algebraic geometry. Proc. Math. Acad. Sci. USA74, 1789 (1977). Zbl0355.32028MR451180

NotesEmbed ?

top

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.