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
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.
|Uncontrolled Keywords:||Intermediate cohomology; Criterion; Quartic threefold; ACM bundle; Projectively normal curve|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
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|Deposited On:||18 Apr 2012 08:30|
|Last Modified:||06 Feb 2014 10:08|
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