A rationality criterion for projective surfaces - partial solution to Kollar's conjecture

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dc.creatorKeum, JongHae
dc.date2005-10-07
dc.date2006-06-10
dc.date.accessioned2026-07-07T06:47:12Z
dc.date.available2026-07-07T06:47:12Z
dc.descriptionKollár'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 $S$.
dc.descriptionAn error in the previous version was corrected. To appear in the Proceedings of the Conference in honor of Igor Dolgachev on his 60th birthday
dc.identifierhttps://arxiv.org/abs/math/0510137
dc.identifierhttp://arxiv.org/abs/math/0510137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103578
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14J
dc.titleA rationality criterion for projective surfaces - partial solution to Kollar's conjecture
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