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math.AG2025

On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle

Lucas Lagarde, Mohamed Moakher, Morena Porzio +2

Let $C$ be a curve of genus $g \geq 2$ , and let $J$ be its Jacobian. The choice of a degree 1 divisor $e$ on $C$ gives an embedding of $C$ into $J$ ; we denote by $[C]_{}^{e}\in \ma…

math.AG2024

On the Stable Birationality of Hilbert schemes of points on surfaces

Morena Porzio

The aim of this paper is to study the stable birational type of $H i l b_{X}^{n}$ , the Hilbert scheme of degree $n$ points on a surface $X$ . More precisely, it addresses the question for…