RATIONAL CURVES ON CUBIC HYPERSURFACES OVER FINITE FIELDS
نویسندگان
چکیده
Given a smooth cubic hypersurface X over finite field of characteristic greater than 3 and two generic points on X, we use function analogue the Hardy–Littlewood circle method to obtain an asymptotic formula for number degree d k-rational curves passing through those points. We this deduce dimension irreducibility moduli space parametrising such curves, large enough d.
منابع مشابه
Rational Curves on Smooth Cubic Hypersurfaces over Finite Fields
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ژورنال
عنوان ژورنال: Mathematika
سال: 2021
ISSN: ['2041-7942', '0025-5793']
DOI: https://doi.org/10.1112/mtk.12073