Show simple item record

dc.contributor.creatorKreussler, Bernd
dc.date.accessioned2018-10-09T11:14:34Z
dc.date.available2018-10-09T11:14:34Z
dc.date.issued1995
dc.identifier.citationKreussler, B. (1995) 'Moishezon twistor spaces without effective divisors of degree one.' Journal of Algebraic Geometry 6(1). pp. 1-17. DOI: 10.1.1.53.3627.en_US
dc.identifier.urihttp://hdl.handle.net/10395/2235
dc.descriptionMoishezon twistor spaces without effective divisors of degree oneen_US
dc.description.abstractWe study simply connected compact twistor spaces Z of positive type. Assuming that the fundamental linear system j \Gamma 1 2 Kj is at least a pencil, we prove the following theorem: the existence of an irreducible curve C ae Z which is invariant under the real structure of Z and has the property C:(\Gamma 1 2 K) ! 0 implies that the twistor space is Moishezon but does not contain effective divisors of degree one. Furthermore, we prove the existence of such twistor spaces with arbitrary Picard number ae(Z) 5. These are the first examples of Moishezon twistor spaces without divisors of degree one.en_US
dc.language.isoengen_US
dc.publisherUniversität Kaiserslauternen_US
dc.relation.ispartofseries6;1
dc.rights.urihttp://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.3627en_US
dc.subjectDegree oneen_US
dc.subjectArbitrary Picard number aeen_US
dc.subjectPositive typeen_US
dc.subjectMoishezon twistor spaceen_US
dc.subjectFundamental linear system gammaen_US
dc.subjectEffective divisoren_US
dc.subjectIrreducible curve aeen_US
dc.subjectReal structureen_US
dc.subjectCompact twistor spaceen_US
dc.titleMoishezon twistor spaces without effective divisors of degree one (pre-published version)en_US
dc.typeArticleen_US
dc.type.supercollectionall_mic_researchen_US
dc.type.supercollectionmic_published_revieweden_US
dc.description.versionYesen_US
dc.identifier.doi10.1.1.53.3627


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record