Curves on the product of two $K-$trivial surfaces

Fuente: arXiv
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Auteurs principaux: Moretti, Federico, Passeri, Giovanni
Format: Preprint
Publié: 2026
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author Moretti, Federico
Passeri, Giovanni
author_facet Moretti, Federico
Passeri, Giovanni
contents We study curves on the product of two $K$-trivial surfaces. In the case of the product of two very general abelian surfaces $A_1\times A_2$, we prove that the minimal genus of a non-trivial curve on $A_1\times A_2$ is $6$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11799
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Curves on the product of two $K-$trivial surfaces
Moretti, Federico
Passeri, Giovanni
Algebraic Geometry
14H10, 14H40, 14J28
We study curves on the product of two $K$-trivial surfaces. In the case of the product of two very general abelian surfaces $A_1\times A_2$, we prove that the minimal genus of a non-trivial curve on $A_1\times A_2$ is $6$.
title Curves on the product of two $K-$trivial surfaces
topic Algebraic Geometry
14H10, 14H40, 14J28
url https://arxiv.org/abs/2604.11799