On projective threefolds with two-dimensional space of vanishing cycles

Timofey Fedorov

On projective threefolds with two-dimensional space of vanishing cycles

Algebraic Geometry 2025-06-03 v3

Authors: Timofey Fedorov

Abstract

We obtain a complete list of smooth projective threefolds over $\mathbb C$ for which the dimension of the space of vanishing cycles (in $H^2$ of the smooth hyperplane section) equals $2$ . We also obtain a complete list of rank 2 very ample vector bundles $E$ on smooth projective surfaces with $c_2(E) = 3$ .

Keywords

projective threefolds vanishing cycles very ample vector bundles smooth hyperplane section Chern class

Cite

@article{arxiv.2501.13027,
  title  = {On projective threefolds with two-dimensional space of vanishing cycles},
  author = {Timofey Fedorov},
  journal= {arXiv preprint arXiv:2501.13027},
  year   = {2025}
}

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10 pages

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