Arrondo Esteban, Enrique and Maddona, Carlo G.
(2009)
*Curves and vector bundles on quartic threefolds.*
Journal of the Korean Mathematical Society, 46
(3).
pp. 589-608.
ISSN 0304-9914

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Official URL: http://arxiv.org/pdf/math/0703413v4.pdf

## Abstract

In this paper we study arithmetically Cohen-Macaulay (ACM for short)

vector bundles E of rank k 3 on hypersurfaces Xr P4 of degree r 1.

We consider here mainly the case of degree r = 4, which is the first unknown

case in literature. Under some natural conditions for the bundle E

we derive a list of possible Chern classes (c1, c2, c3) which may arise in the

cases of rank k = 3 and k = 4, when r = 4 and we give several examples.

Item Type: | Article |
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Uncontrolled Keywords: | Intermediate cohomology; Criterion; Quartic threefold; ACM bundle; Projectively normal curve |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14767 |

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