A rationality criterion for projective surfaces - partial solution to Kollar's conjecture
Abstract
Koll\'ar's conjecture states that a complex projective surface S with quotient singularities and with H2(S,) 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.
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