Paolo Grossi

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math.AG2026

Hyperelliptic curves on $(1, d)$ abelian surfaces for $d \leq 15$

Paweł Borówka, Paolo Grossi, Anatoli Shatsila

Bryan, Oberdieck, Pandharipande and Yin predicted the number of hyperelliptic curves on general abelian surfaces under a transversality condition. Some of the numbers have already…

math.AG2025

An explicit class of Lagrangian surfaces

Paolo Grossi, Federico Moretti

We construct a family of general type surfaces with $q = 4$ , $p_{g} = 6$ and $K^{2} = 24$ . These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and…

Hyperelliptic curves on (1,d) abelian surfaces for d≤15

An explicit class of Lagrangian surfaces

Hyperelliptic curves on $(1, d)$ abelian surfaces for $d \leq 15$