Author

Federico Moretti

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Preprint Oct 2026

Hyperelliptic curves on $K3$ surfaces

We study hyperelliptic curves on $K3$ surfaces. We show that any number of general points on a $K3$ surface of Picard rank one can be connected by a hyperelliptic curve. As a by-product we recover the Beauville--Voisin decomposition of the small diagonal, together with some new bounds on its torsion order in the integr...

Federico Moretti · 0 citations