Curves and vector bundles on quartic threefolds

E. Arrondo; C. G. Madonna

Curves and vector bundles on quartic threefolds

代数几何 2009-06-20 v4

作者: E. Arrondo , C. G. Madonna

摘要

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.

关键词

vector bundles moduli spaces of vector bundles algebraic curves

引用

@article{arxiv.math/0703413,
  title  = {Curves and vector bundles on quartic threefolds},
  author = {E. Arrondo and C. G. Madonna},
  journal= {arXiv preprint arXiv:math/0703413},
  year   = {2009}
}

备注

final version, to apper on JKMS

Curves and vector bundles on quartic threefolds

摘要

关键词

引用

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