Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75913In this paper we construct a family of symplectic 4--manifolds with positive signature for any given fundamental group $G$ that approaches the BMY line. The family is used to show that one cannot hope to do better than than the BMY inequality in finding a lower bound for the function $f=χ+bσ$ on the class of all minimal symplectic 4-manifolds with a given fundamental group.Geometric Topology53D05; 57R17; 57M05Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau linetext