Smooth weighted hypersurfaces that are not stably rational
arXiv:1709.07748
Abstract
We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces of dimension at least 3. It is in particular proved that a very general smooth well formed Fano weighted hypersurface of index one is not stably rational.
arXiv comment25 pages. A typo in the statement of Corollary 1.5 is fixed
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