An explicit class of Lagrangian surfaces

Paolo Grossi; Federico Moretti

An explicit class of Lagrangian surfaces

Algebraic Geometry 2025-02-19 v1

Authors: Paolo Grossi , Federico Moretti

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.

Keywords

del pezzo surfaces algebraic surfaces mapping class groups

Cite

@article{arxiv.2502.13087,
  title  = {An explicit class of Lagrangian surfaces},
  author = {Paolo Grossi and Federico Moretti},
  journal= {arXiv preprint arXiv:2502.13087},
  year   = {2025}
}

Comments

19 pages, 3 figures. Comments welcome

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