2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71234We consider the moduli space $A_{pol}(n)$ of (non-principally) polarised abelian varieties of genus $g\geq3$ with coprime polarisation and full level-$n$ structure. Based upon the analysis of the Tits building in math/0405321, we give an explicit lower bound on $n$ that is sufficient for the compactified moduli space to be of general type if one further explicit condition is satisfied.22 pagesAlgebraic Geometry14K10; 11G15The Kodaira dimension of Siegel modular varieties of genus 3 or highertext