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

الأصل · EN

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 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.