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Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103560
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dc.titleModuli space of branched superminimal immersions of a compact Riemann surface into S4
dc.contributor.authorLoo, B.
dc.date.accessioned2014-10-28T02:38:39Z
dc.date.available2014-10-28T02:38:39Z
dc.date.issued1999-02
dc.identifier.citationLoo, B. (1999-02). Moduli space of branched superminimal immersions of a compact Riemann surface into S4. Journal of the Australian Mathematical Society 66 (1) : 32-50. ScholarBank@NUS Repository.
dc.identifier.issn14467887
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103560
dc.description.abstractIn this paper we describe the moduli spaces of degree d branched superminimal immersions of a compact Riemann surface of genus g into S4. We prove that when d ≥ max{2g, g + 2}, such spaces have the structure of projectivized fibre products and are path-connected quasi-projective varieties of dimension 2d - g + 4. This generalizes known results for spaces of harmonic 2-spheres in S4.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleJournal of the Australian Mathematical Society
dc.description.volume66
dc.description.issue1
dc.description.page32-50
dc.identifier.isiutNOT_IN_WOS
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