Stephen McKean

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math.AG2025

Inverse curve problems on del Pezzo surfaces

Enis Kaya, Stephen McKean, Sam Streeter +1

We classify the number of $k$ -rational lines and conic fibrations on del Pezzo surfaces over a field $k$ in terms of relatively minimal surfaces and establish rational curve analog…

math.AG2025

Quadratic Segre indices

Felipe Espreafico, Stephen McKean, Sabrina Pauli

We prove that the local Euler class of a line on a degree $2 n - 1$ hypersurface in projective $n + 1$ space is given by a product of indices of Segre involutions. Segre involutions and…