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2021 Torsion orders of Fano hypersurfaces
Stefan Schreieder
Algebra Number Theory 15(1): 241-270 (2021). DOI: 10.2140/ant.2021.15.241

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 very 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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Stefan Schreieder. "Torsion orders of Fano hypersurfaces." Algebra Number Theory 15 (1) 241 - 270, 2021. https://doi.org/10.2140/ant.2021.15.241

Information

Received: 16 December 2019; Revised: 12 June 2020; Accepted: 21 July 2020; Published: 2021
First available in Project Euclid: 17 March 2021

Digital Object Identifier: 10.2140/ant.2021.15.241

Subjects:
Primary: 14J70
Secondary: 14C25, 14E08, 14M20

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.15 • No. 1 • 2021
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