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arXiv:1706.01371 [math.AG]AbstractReferencesReviewsResources

Intersections of three quadrics in $\mathbb{P}^7$

Brendan Hassett, Alena Pirutka, Yuri Tschinkel

Published 2017-06-05Version 1

We study rationality properties of smooth complete intersections of three quadrics in $\mathbb{P}^7$. We exhibit a smooth family of such intersections with both rational and non-rational fibers.

Comments: 18 pages
Categories: math.AG
Subjects: 14E08, 14F20, 14C30
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