Curves and vector bundles on quartic threefolds

E. Arrondo; C. G. Madonna

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arXiv · math/0703413

Curves and vector bundles on quartic threefolds

E. Arrondo·C. G. Madonna

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Abstract

In this paper we study ACM vector bundles $\E$ of rank $k \geq 3$ on hypersurfaces $X_r \subset\Pj^4$ of degree $r \geq 1$. 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 $(c_1,c_2,c_3)$ which may arise in the cases of rank $k=3$ and $k=4$, when $r=4$. For some cases among these we give the corresponding examples, the existence of all the other cases remaining under question.

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BibTeX RIS

E. Arrondo, C. G. Madonna. 2008-02-13. Curves and vector bundles on quartic threefolds. https://arxiv.org/abs/math/0703413

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