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Article: Birationality of the tangent map for minimal rational curves

TitleBirationality of the tangent map for minimal rational curves
Authors
Issue Date2004
PublisherInternational Press. The Journal's web site is located at http://www.ims.cuhk.edu.hk/ajm/
Citation
The Asian Journal of Mathematics, 2004, v. 8 n. 1, p. 51-64 How to Cite?
AbstractFor a uniruled projective manifold, we prove that a general rational curve of minimal degree through a general point is uniquely determined by its tangent vector. As applications, among other things we give a new proof, using no Lie theory, of our earlier result that a holomorphic map from a rational homogeneous space of Picard number 1 onto a projective manifold different from the projective space must be a biholomorphic map.
Persistent Identifierhttp://hdl.handle.net/10722/75351
ISSN
2023 Impact Factor: 0.5
2023 SCImago Journal Rankings: 0.589

 

DC FieldValueLanguage
dc.contributor.authorHwang, JMen_HK
dc.contributor.authorMok, Nen_HK
dc.date.accessioned2010-09-06T07:10:18Z-
dc.date.available2010-09-06T07:10:18Z-
dc.date.issued2004en_HK
dc.identifier.citationThe Asian Journal of Mathematics, 2004, v. 8 n. 1, p. 51-64en_HK
dc.identifier.issn1093-6106-
dc.identifier.urihttp://hdl.handle.net/10722/75351-
dc.description.abstractFor a uniruled projective manifold, we prove that a general rational curve of minimal degree through a general point is uniquely determined by its tangent vector. As applications, among other things we give a new proof, using no Lie theory, of our earlier result that a holomorphic map from a rational homogeneous space of Picard number 1 onto a projective manifold different from the projective space must be a biholomorphic map.-
dc.languageengen_HK
dc.publisherInternational Press. The Journal's web site is located at http://www.ims.cuhk.edu.hk/ajm/-
dc.relation.ispartofThe Asian Journal of Mathematicsen_HK
dc.rightsThe Asian Journal of Mathematics. Copyright © International Press.-
dc.titleBirationality of the tangent map for minimal rational curvesen_HK
dc.typeArticleen_HK
dc.identifier.emailMok, N: nmok@hkucc.hku.hken_HK
dc.identifier.authorityMok, N=rp00763en_HK
dc.description.naturepostprint-
dc.identifier.doi10.4310/AJM.2004.v8.n1.a6-
dc.identifier.hkuros98235en_HK
dc.identifier.volume8-
dc.identifier.issue1-
dc.identifier.spage51-
dc.identifier.epage64-
dc.publisher.placeUnited States-
dc.identifier.issnl1093-6106-

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