V. Di Gennaro

activity

20192024

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Showing 2022Show all

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math.AG2022

Nilpotent cone and bivariant theory

Vincenzo Di Gennaro, Davide Franco, Carmine Sessa

We exhibit a new proof, relying on bivariant theory, that the nilpotent cone is rationally smooth. Our approach enables us to prove a slightly more general statement.

math.AG2022

On the genus of projective curves not contained in hypersurfaces of given degree

Vincenzo Di Gennaro

Fix integers $r \geq 4$ and $i \geq 2$ (for $r = 4$ assume $i \geq 3$ ). Assuming that the rational number $s$ defined by the equation $(2 i + 1) s + (i + 1) = (i r + i)$ is an intege…