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arXiv:1510.02011 [math.AG]AbstractReferencesReviewsResources

A very general quartic or quintic fivefold is not stably rational

Stefan Schreieder, Luca Tasin

Published 2015-10-07Version 1

Using Voisin's method we prove that a very general quartic or quintic fivefold is not stably rational and so, in particular, not rational. On the other hand, general quartic fivefolds are known to be unirational.

Comments: 15 pages
Categories: math.AG
Subjects: 14E08, 14J45, 14J70
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