Year: 2025
Type: article
Abstract: We prove general-type results for orthogonal modular varieties associated with moduli spaces of compact hyperkähler manifolds of deformation generalised Kummer type ('deformation generalised Kummer varieties' ).More precisely, we consider moduli spaces of deformation generalised Kummer fourfolds with split polarisation of degree 2d.Our main result is that when d is prime or 2d is square-free, then the associated modular varieties are of general type when d exceeds certain bounds.As a corollary, we conclude that the corresponding moduli spaces are also of general type.
Source: Algebraic geometry
DOI: 10.14231/ag-2025-017
Author: Matthew Dawes
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G4019102416, G914942222
OpenAlex ID: W2763535726