On the Rationality of Fano-Enriques Threefolds
Algebraic Geometry
2023-01-19 v3
Abstract
A Fano-Enriques threefold is a three-dimensional non-Gorenstein Fano variety of index 1 with at most canonical singularities. We study the birational geometry of Fano-Enriques threefolds with terminal cyclic quotient singularities. We investigate their rationality, and also provide an example of a Fano-Enriques threefold, whose pliability is 9, i.e. a Fano-Enriques threefold birationally equivalent to exactly 9 Mori fibre spaces in Sarkisov category.
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Cite
@article{arxiv.2208.09296,
title = {On the Rationality of Fano-Enriques Threefolds},
author = {Arman Sarikyan},
journal= {arXiv preprint arXiv:2208.09296},
year = {2023}
}
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24 pages