Andrea Gallese

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20242026

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math.AG2024

How to split two-dimensional Jacobians: a geometric construction

Andrea Gallese

Let $π : Y \to X$ be a branched cover of algebraic curves. Assume that there exists a curve $W$ such that $\operatorname{Jac} Y \sim \operatorname{Jac} X \times \operatorname{J…

math.NT2024

Monodromy groups and exceptional Hodge classes, I: Fermat Jacobians

Andrea Gallese, Heidi Goodson, Davide Lombardo

Denote by $J_{m}$ the Jacobian variety of the hyperelliptic curve defined by the affine equation $y^{2} = x^{m} + 1$ over $Q$ , where $m \geq 3$ is a fixed positive integer. We compu…