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math.AG2025
Rational surfaces on low degree hypersurfaces
Tim Browning, Shuntaro Yamagishi
We use function field analytic number theory to establish the irreducibility and dimension of the moduli space that parameterises morphisms of fixed degree from to a…
math.AG2024
Rational curves on complete intersections and the circle method
Tim Browning, Pankaj Vishe, Shuntaro Yamagishi
We study the geometry of the space of rational curves on smooth complete intersections of low degree, which pass through a given set of points on the variety. The argument uses spr…