## Journal of Symplectic Geometry

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

#### 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.

#### Article information

Source
J. Symplectic Geom., Volume 4, Number 1 (2006), 63-70.

Dates
First available in Project Euclid: 2 August 2006