Smooth weighted hypersurfaces that are not stably rational
نویسندگان
چکیده
We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces dimension at least 3. It is in particular proved that a very general Fano hypersurface index one not stably rational.
منابع مشابه
Hypersurfaces that are not stably rational
A fundamental problem of algebraic geometry is to determine which varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. In particular, we want to know which smooth hypersurfaces in projective space are rational. An easy case is that smooth complex hypersurfaces of degree at least n + 2 in P are not covered by rational curv...
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ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2021
ISSN: ['0373-0956', '1777-5310']
DOI: https://doi.org/10.5802/aif.3390