Variation du type birationnel stable en caractéristique positive

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stefan Schreieder

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
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Details

Titel in ÜbersetzungVariation of stable birational types in positive characteristic
OriginalspracheFranzösisch
Aufsatznummer20
Seitenumfang14
FachzeitschriftEpijournal de Geometrie Algebrique
Jahrgang3
Ausgabenummer3
PublikationsstatusVeröffentlicht - 27 Jan. 2020
Extern publiziertJa

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.

ASJC Scopus Sachgebiete

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Variation du type birationnel stable en caractéristique positive. / Schreieder, Stefan.
in: Epijournal de Geometrie Algebrique, Jahrgang 3, Nr. 3, 20, 27.01.2020.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schreieder, S 2020, 'Variation du type birationnel stable en caractéristique positive', Epijournal de Geometrie Algebrique, Jg. 3, Nr. 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), Artikel 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 ; Jahrgang 3, Nr. 3.
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