Variation du type birationnel stable en caractéristique positive

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Stefan Schreieder

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
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Details

Translated title of the contributionVariation of stable birational types in positive characteristic
Original languageFrench
Article number20
Number of pages14
JournalEpijournal de Geometrie Algebrique
Volume3
Issue number3
Publication statusPublished - 27 Jan 2020
Externally publishedYes

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 [Shi19], whose method works in characteristic zero.

Keywords

    Hypersurfaces, Rationality problems, Variation of stable rationality, Decomposition of the diagonal

ASJC Scopus subject areas

Cite this

Variation du type birationnel stable en caractéristique positive. / Schreieder, Stefan.
In: Epijournal de Geometrie Algebrique, Vol. 3, No. 3, 20, 27.01.2020.

Research output: Contribution to journal › Article › Research › peer review

Schreieder, S 2020, 'Variation du type birationnel stable en caractéristique positive', Epijournal de Geometrie Algebrique, vol. 3, no. 3, 20. https://doi.org/10.46298/EPIGA.2020.VOLUME3.5728
Schreieder, S. (2020). Variation du type birationnel stable en caractéristique positive. Epijournal de Geometrie Algebrique, 3(3), Article 20. https://doi.org/10.46298/EPIGA.2020.VOLUME3.5728
Schreieder S. Variation du type birationnel stable en caractéristique positive. Epijournal de Geometrie Algebrique. 2020 Jan 27;3(3):20. doi: 10.46298/EPIGA.2020.VOLUME3.5728
Schreieder, Stefan. / Variation du type birationnel stable en caractéristique positive. In: Epijournal de Geometrie Algebrique. 2020 ; Vol. 3, No. 3.
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