Abstract
In 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 the BMY inequality in finding a lower bound for the function $f=\chi+b\sigma$ on the class of all minimal symplectic 4-manifolds with a given fundamental group.
Citation
Scott Baldridge. Paul Kirk. "Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau line." J. Symplectic Geom. 4 (1) 63 - 70, March 2006.
Information