Which quartic double solids are rational?
Algebraic Geometry
2020-08-13 v3
Abstract
We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational, and nodal quartic double solids with at least eleven singular points are rational.
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Cite
@article{arxiv.1508.07277,
title = {Which quartic double solids are rational?},
author = {Ivan Cheltsov and Victor Przyjalkowski and Constantin Shramov},
journal= {arXiv preprint arXiv:1508.07277},
year = {2020}
}
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35 pages