An application of Guillemin-Abreu theory to a non-abelian group action

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dc.creatorRaza, Aleksis
dc.date2004-10-22
dc.date2005-03-27
dc.date.accessioned2026-07-07T05:13:36Z
dc.date.available2026-07-07T05:13:36Z
dc.descriptionThis note is a step towards demonstrating the benefits of a symplectic approach to studying equivariant Kähler geometry. We apply a local differential geometric framework from Kähler toric geometry due to Guillemin & Abreu to the case of the standard linear $\SU(n)$ action on $\bbC^n\setminus\{0\}$. Using this framework we (re)construct a scalar-flat Kähler metric on the blow-up of $\bbC^n$ at the origin from data on the moment polytope.
dc.description8 pages. Part of submitted version
dc.identifierhttps://arxiv.org/abs/math/0410484
dc.identifierhttp://arxiv.org/abs/math/0410484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72969
dc.subjectDifferential Geometry
dc.titleAn application of Guillemin-Abreu theory to a non-abelian group action
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