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Curves and vector bundles on quartic threefolds

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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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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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