Rank-two vector bundles on general quartic hypersurfaces in P4.

Carlo Madonna

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 287-301
  • ISSN: 1139-1138

Abstract

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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.

How to cite

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Madonna, Carlo. "Rank-two vector bundles on general quartic hypersurfaces in P4.." Revista Matemática Complutense 13.2 (2000): 287-301. <http://eudml.org/doc/44478>.

@article{Madonna2000,
abstract = {In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.},
author = {Madonna, Carlo},
journal = {Revista Matemática Complutense},
keywords = {Hipersuperficie algebroide; Espacios y haces de fibras; hypersurfaces; vector bundles; locally complete intersection subcanonical curves; intermediate cohomology},
language = {eng},
number = {2},
pages = {287-301},
title = {Rank-two vector bundles on general quartic hypersurfaces in P4.},
url = {http://eudml.org/doc/44478},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Madonna, Carlo
TI - Rank-two vector bundles on general quartic hypersurfaces in P4.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 287
EP - 301
AB - In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
LA - eng
KW - Hipersuperficie algebroide; Espacios y haces de fibras; hypersurfaces; vector bundles; locally complete intersection subcanonical curves; intermediate cohomology
UR - http://eudml.org/doc/44478
ER -

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