Torsion orders of Fano hypersurfaces

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

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  • Stefan Schreieder

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OriginalspracheEnglisch
Seiten (von - bis)241-270
Seitenumfang30
FachzeitschriftAlgebra and Number Theory
Jahrgang15
Ausgabenummer1
PublikationsstatusVeröffentlicht - 1 März 2021

Abstract

We find new lower bounds on the torsion orders of very general Fano hypersurfaces over (uncountable) fields of arbitrary characteristic. Our results imply that unirational parametrizations of most Fano hypersurfaces need to have enormously large degree. Our results also hold in characteristic two, where they solve the rationality problem for hypersurfaces under a logarithmic degree bound, thereby extending a previous result of the author from characteristic different from two to arbitrary characteristic.

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Torsion orders of Fano hypersurfaces. / Schreieder, Stefan.
in: Algebra and Number Theory, Jahrgang 15, Nr. 1, 01.03.2021, S. 241-270.

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

Schreieder S. Torsion orders of Fano hypersurfaces. Algebra and Number Theory. 2021 Mär 1;15(1):241-270. doi: 10.2140/ant.2021.15.241
Schreieder, Stefan. / Torsion orders of Fano hypersurfaces. in: Algebra and Number Theory. 2021 ; Jahrgang 15, Nr. 1. S. 241-270.
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