Intersections of three quadrics in $\mathbb{P}^7$
Algebraic Geometry
2017-06-06 v1
Abstract
We study rationality properties of smooth complete intersections of three quadrics in . We exhibit a smooth family of such intersections with both rational and non-rational fibers.
Cite
@article{arxiv.1706.01371,
title = {Intersections of three quadrics in $\mathbb{P}^7$},
author = {Brendan Hassett and Alena Pirutka and Yuri Tschinkel},
journal= {arXiv preprint arXiv:1706.01371},
year = {2017}
}
Comments
18 pages