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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://jkms.kms.or.kr/
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 |
|---|---|
| Uncontrolled Keywords: | Intermediate cohomology; Criterion; Quartic threefold; ACM bundle; Projectively normal curve |
| Subjects: | Sciences > Mathematics > Algebraic geometry |
| ID Code: | 14767 |
| Deposited On: | 18 Apr 2012 08:30 |
| Last Modified: | 07 Aug 2018 11:24 |
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