Rational curves on smooth cubic hypersurfaces over finite fields

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DateUnpublished - 17 Feb 2015
Number of pages12
Original languageEnglish

Abstract

Let k be a finite field with characteristic exceeding 3. We prove that the space of rational curves of fixed degree on any smooth cubic hypersurface over k with dimension at least 11 is irreducible and of the expected dimension.

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12 pages

    Research areas

  • math.AG, math.NT, 14H10, 11P55, 14G05

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