A rationality criterion for projective surfaces - partial solution to Kollar's conjecture
Abstract
Description
Kollár's conjecture states that a complex projective surface $S$ with quotient singularities and with $H^2(S,\bbQ)\cong \bbQ$ should be rational if its smooth part $S^0$ 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 $S$.
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
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