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Article: Automorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1

TitleAutomorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1
Authors
KeywordsMathematics
Issue Date2004
Citation
Journal Of Algebraic Geometry, 2004, v. 13 n. 4, p. 663-673 How to Cite?
AbstractLet X be a Fano manifold of Picard number 1 and M an irreducible component of the space of minimal rational curves on X. It is a natural problem to understand the extent to which the geometry of X is captured by the geometry of M. In this vein we raise the question as to whether the canonical map Aut o(X) → Auto (M) is an isomorphism. After providing a number of examples showing that this may fail in general, we show that the map is indeed an isomorphism under the additional assumption that the subvariety of M consisting of members passing through a general point x ∈ X is irreducible and of dimension ≥ 2.
Persistent Identifierhttp://hdl.handle.net/10722/156215
ISSN
2015 Impact Factor: 1.191
2015 SCImago Journal Rankings: 2.948
References

 

DC FieldValueLanguage
dc.contributor.authorHwang, JMen_US
dc.contributor.authorMok, Nen_US
dc.date.accessioned2012-08-08T08:40:52Z-
dc.date.available2012-08-08T08:40:52Z-
dc.date.issued2004en_US
dc.identifier.citationJournal Of Algebraic Geometry, 2004, v. 13 n. 4, p. 663-673en_US
dc.identifier.issn1056-3911en_US
dc.identifier.urihttp://hdl.handle.net/10722/156215-
dc.description.abstractLet X be a Fano manifold of Picard number 1 and M an irreducible component of the space of minimal rational curves on X. It is a natural problem to understand the extent to which the geometry of X is captured by the geometry of M. In this vein we raise the question as to whether the canonical map Aut o(X) → Auto (M) is an isomorphism. After providing a number of examples showing that this may fail in general, we show that the map is indeed an isomorphism under the additional assumption that the subvariety of M consisting of members passing through a general point x ∈ X is irreducible and of dimension ≥ 2.en_US
dc.languageengen_US
dc.relation.ispartofJournal of Algebraic Geometryen_US
dc.rightsFirst published in Journal of Algebraic Geometry in v. 13, 2004, published by the American Mathematical Society-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectMathematics-
dc.titleAutomorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1en_US
dc.typeArticleen_US
dc.identifier.emailMok, N:nmok@hkucc.hku.hken_US
dc.identifier.authorityMok, N=rp00763en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.scopuseid_2-s2.0-4444239884en_US
dc.identifier.hkuros88818-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4444239884&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume13en_US
dc.identifier.issue4en_US
dc.identifier.spage663en_US
dc.identifier.epage673en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHwang, JM=7403895554en_US
dc.identifier.scopusauthoridMok, N=7004348032en_US

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