Cubic hypersurfaces and a version of the circle method for number fields

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DateAccepted/In press - 10 Jul 2012
PublisherArxiv (Cornell University)
Number of pages45
Original languageEnglish

Abstract

A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.

    Research areas

  • math.NT, 11P55 (Primary) , 11D72, 14G05 (Secondary)

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