An explicit class of Lagrangian surfaces

Paolo Grossi; Federico Moretti

doi:10.1142/S0129167X26500527

An explicit class of Lagrangian surfaces

Paolo Grossi
, Federico Moretti

Mathematics

University of Pavia

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a family of general type surfaces with q = 4, p_g = 6 and K² = 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 P⁵ with 44 even nodes.

Original language	English
Article number	2650052
Journal	International Journal of Mathematics
Volume	37
Issue number	10
DOIs	https://doi.org/10.1142/S0129167X26500527
State	Published - Sep 1 2026

Keywords

Lagrangian subvarieties
Surfaces of general type

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10.1142/S0129167X26500527

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title = "An explicit class of Lagrangian surfaces",

abstract = "We construct a family of general type surfaces with q = 4, pg = 6 and K2 = 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 P5 with 44 even nodes.",

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An explicit class of Lagrangian surfaces

Abstract

Keywords

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