2005/10/07 by JongHae Keum, Keum, JongHae
Mathematics · #14J #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT #msc:14J
paper · pdf · doi:10.48550/arxiv.math/0510137
An error in the previous version was corrected. To appear in the Proceedings of the Conference in honor of Igor Dolgachev on his 60th birthday
arxiv created 2006/06/10 · arxiv updated 2009/12/01
Kollár's conjecture states that a complex projective surface S with quotient singularities and with H2(S,\bbQ)≅ \bbQ should be rational if its smooth part S0 is simply connected. We confirm the conjecture under the additional condition that the exceptional divisor in a minimal resolution of S has at most 3 components over each singular point of S.