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arXiv · 0810.0487

On some Fano--Enriques threefolds

Ilya Karzhemanov
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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.

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Ilya Karzhemanov. 2009-08-12. On some Fano--Enriques threefolds. https://arxiv.org/abs/0810.0487

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