On some Fano--Enriques threefolds

Ilya Karzhemanov

On some Fano--Enriques threefolds

Algebraic Geometry 2009-08-12 v3

Authors: Ilya Karzhemanov

Abstract

We give a classification of Fano threefolds $X$ with canonical Gorenstein singularities such that $X$ possess a regular involution, which acts freely on some smooth surface in $|-K_X|$ , and the linear system $|-K_X|$ gives a morphism which is not an embedding. From this classification one gets, in particular, a description of some natural class of Fano--Enriques threefolds.

Keywords

fano varieties manifolds

Cite

@article{arxiv.0810.0487,
  title  = {On some Fano--Enriques threefolds},
  author = {Ilya Karzhemanov},
  journal= {arXiv preprint arXiv:0810.0487},
  year   = {2009}
}

Comments

10 pages; minor changes, 4 references added, to appear in Advances in Geometry

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