Variation of stable birational types in positive characteristic

zbMATH Open1439.14126arXiv1903.06143MaRDI QIDQ5219438

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Publication date: 11 March 2020

Abstract: Let k be an uncountable algebraically closed field and let Y be a smooth projective k-variety which does not admit a decomposition of the diagonal. We prove that Y is not stably birational to a very general hypersurface of any given degree and dimension. We use this to study the variation of the stable birational types of Fano hypersurfaces over fields of arbitrary characteristic. This had been initiated by Shinder, whose method works in characteristic zero.

Full work available at URL: https://arxiv.org/abs/1903.06143

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