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An explicit class of Lagrangian surfaces

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arxiv 2502.13087 v2 pith:DJN4OMII submitted 2025-02-18 math.AG

Paolo Grossi , Federico Moretti This is my paper · ORCID
classification math.AG
keywords surfaceslagrangianalbanesecanonicalclassconstructdegreeenjoy
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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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  1. Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group

    math.AG 2026-07 conditional novelty 7.0 of 10

    For aspherical normal complex algebraic varieties, a virtually nilpotent fundamental group is forced to be virtually two-step nilpotent.

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