Free rational curves on low degree hypersurfaces and the circle method
نویسندگان
چکیده
We use a function field version of the Hardy-Littlewood circle method to study locus free rational curves on an arbitrary smooth projective hypersurface sufficiently low degree. On one hand this allows us bound dimension singular moduli space such hypersurfaces and, other hand, it sheds light Peyre's reformulation Batyrev-Manin conjecture in terms slopes with respect tangent bundle.
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2023
ISSN: ['1944-7833', '1937-0652']
DOI: https://doi.org/10.2140/ant.2023.17.719