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dc.contributor.authorKruglikov, Boris
dc.date.accessioned2021-01-08T13:59:18Z
dc.date.available2021-01-08T13:59:18Z
dc.date.issued2020-03-07
dc.description.abstractFor a real-analytic connected CR-hypersurface M of CR-dimension n⩾1 having a point of Levi-nondegeneracy the following alternative is demonstrated for its symmetry algebra s=s(M): (i) either dims=n2+4n+3 and M is spherical everywhere; (ii) or dims⩽n2+2n+2+δ2,n and in the case of equality M is spherical and has fixed signature of the Levi form in the complement to its Levi-degeneracy locus. A version of this result is proved for the Lie group of global automorphisms of M. Explicit examples of CR-hypersurfaces and their infinitesimal and global automorphisms realizing the bound in (ii) are constructed. We provide many other models with large symmetry using the technique of blow-up, in particular we realize all maximal parabolic subalgebras of the pseudo-unitary algebras as a symmetry.en_US
dc.identifier.citationKruglikov BS. Blow-ups and infinitesimal automorphisms of CR-manifolds. Mathematische Zeitschrift. 2020en_US
dc.identifier.cristinIDFRIDAID 1813029
dc.identifier.doi10.1007/s00209-020-02488-7
dc.identifier.issn0025-5874
dc.identifier.issn1432-1823
dc.identifier.urihttps://hdl.handle.net/10037/20236
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalMathematische Zeitschrift
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2020 The Author(s)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleBlow-ups and infinitesimal automorphisms of CR-manifoldsen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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