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Article: Automorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1
Title | Automorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1 |
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Authors | |
Keywords | Mathematics |
Issue Date | 2004 |
Citation | Journal Of Algebraic Geometry, 2004, v. 13 n. 4, p. 663-673 How to Cite? |
Abstract | Let 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 Identifier | http://hdl.handle.net/10722/156215 |
ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.787 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hwang, JM | en_US |
dc.contributor.author | Mok, N | en_US |
dc.date.accessioned | 2012-08-08T08:40:52Z | - |
dc.date.available | 2012-08-08T08:40:52Z | - |
dc.date.issued | 2004 | en_US |
dc.identifier.citation | Journal Of Algebraic Geometry, 2004, v. 13 n. 4, p. 663-673 | en_US |
dc.identifier.issn | 1056-3911 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156215 | - |
dc.description.abstract | Let 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.language | eng | en_US |
dc.relation.ispartof | Journal of Algebraic Geometry | en_US |
dc.rights | First published in Journal of Algebraic Geometry in v. 13, 2004, published by the American Mathematical Society | - |
dc.subject | Mathematics | - |
dc.title | Automorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1 | en_US |
dc.type | Article | en_US |
dc.identifier.email | Mok, N:nmok@hkucc.hku.hk | en_US |
dc.identifier.authority | Mok, N=rp00763 | en_US |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.scopus | eid_2-s2.0-4444239884 | en_US |
dc.identifier.hkuros | 88818 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-4444239884&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 13 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 663 | en_US |
dc.identifier.epage | 673 | en_US |
dc.identifier.isi | WOS:000223463700003 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Hwang, JM=7403895554 | en_US |
dc.identifier.scopusauthorid | Mok, N=7004348032 | en_US |
dc.identifier.issnl | 1056-3911 | - |