Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes

dc.contributor.creatorCampana, Frederic
dc.contributor.creatorKreussler, Bernd
dc.date.accessioned2013-05-16T15:46:20Z
dc.date.available2013-05-16T15:46:20Z
dc.date.issued1999
dc.description.abstractWe prove the existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes 4CP2. These are the rst examples of twistor spaces of algebraic dimension two over a simply connected Riemannian four{manifold with positive scalar curvature. For this purpose we develop a method to distinguish between twistor spaces of algebraic dimension one and two by looking at the order of a certain point in the Picard group of an elliptic curve.en
dc.description.versionYesen
dc.identifier.citationCampana, F. and Kreussler B. (1999) ‘Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes’, Proceedings of the AMS 127(9) 2633-2642.en
dc.identifier.urihttp://hdl.handle.net/10395/1890
dc.language.isoengen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofseriesProceedings of the AMS;127 (9) 2633-2642
dc.rightsCopyright © American Mathematical Society. The Complete Proceedings of American Mathematical Society volume 127(9) can be found athttp://www.ams.org/journals/proc/1999-127-09/en
dc.subjectMathematicsen
dc.subjectTwistor spacesen
dc.subjectAlgebraic dimensionen
dc.titleExistence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planesen
dc.typeArticleen
dc.type.restrictionnoneen
dc.type.supercollectionall_mic_researchen
dc.type.supercollectionmic_published_revieweden

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