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arXiv · 1706.01371

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

Brendan Hassett·Alena Pirutka·Yuri Tschinkel
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Abstract

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.

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Brendan Hassett, Alena Pirutka, Yuri Tschinkel. 2017-06-05. Intersections of three quadrics in $\mathbb{P}^7$. https://arxiv.org/abs/1706.01371

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