Curves and vector bundles on quartic threefolds
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...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/42090 |
| Online Access: | https://hdl.handle.net/20.500.14352/42090 |
| Access Level: | Open access |
| Keyword: | 512.7 Intermediate cohomology Criterion Quartic threefold ACM bundle Projectively normal curve Geometria algebraica 1201.01 Geometría Algebraica |
| Summary: | 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. |
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