Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau line
Baldridge, Scott ; Kirk, Paul
J. Symplectic Geom., Tome 4 (2006) no. 1, p. 63-70 / Harvested from Project Euclid
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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.
Publié le : 2006-03-14
Classification:  
@article{1154549058,
     author = {Baldridge, Scott and Kirk, Paul},
     title = {Symplectic 4-manifolds
 with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau line},
     journal = {J. Symplectic Geom.},
     volume = {4},
     number = {1},
     year = {2006},
     pages = { 63-70},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154549058}
}

Baldridge, Scott; Kirk, Paul. Symplectic 4-manifolds
 with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau line. J. Symplectic Geom., Tome 4 (2006) no. 1, pp.  63-70. http://gdmltest.u-ga.fr/item/1154549058/