Linear spaces on hypersurfaces over number fields

Brandes, Julia, 1986 (author): Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences

(creator_code:org_t)

Michigan Mathematical Journal, 2017
2017
English.
In: Michigan Mathematical Journal. - : Michigan Mathematical Journal. - 1945-2365 .- 0026-2285. ; 66:4, s. 769-784

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Abstract Subject headings

We establish an analytic Hasse principle for linear spaces of affine dimension m on a complete intersection over an algebraic field extension K of Q. The number of variables required to do this is no larger than what is known for the analogous problem over ?. As an application, we show that any smooth hypersurface over K whose dimension is large enough in terms of the degree is K-unirational, provided that either the degree is odd or K is totally imaginary.

About the subject

By the university: Chalmers University of Technology; University of Gothenburg

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