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arXiv · 2502.13087

An explicit class of Lagrangian surfaces

Paolo Grossi·Federico Moretti
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Abstract

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 their canonical map is $2:1$ onto a degree $12$ surface in $\mathbb P^5$ with $44$ even nodes.

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Paolo Grossi, Federico Moretti. 2025-02-18. An explicit class of Lagrangian surfaces. https://doi.org/10.1142/s0129167x26500527

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