Symplectic stability, analytic stability in non-algebraic complex geometry

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dc.creatorTeleman, Andrei
dc.date2003-09-14
dc.date2004-03-02
dc.date.accessioned2026-07-07T05:01:07Z
dc.date.available2026-07-07T05:01:07Z
dc.descriptionWe give a systematic presentation of the stability theory in the non-algebraic Kaehlerian geometry. We introduce the concept of "energy complete Hamiltonian action". To an energy complete Hamiltonian action of a reductive group G on a complex manifold one can associate a G-equivariant maximal weight function and prove a Hilbert criterion for semistability. In other words, for such actions, the symplectic semistability and analytic semistability conditions are equivalent.
dc.descriptionLaTeX, 31 pages, Comments are welcome. March 02, 2004: Corrections of minor nature. To appear in Int. J. Math
dc.identifierhttps://arxiv.org/abs/math/0309230
dc.identifierhttp://arxiv.org/abs/math/0309230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68561
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject32M05, 53D20, 14L24, 14L30
dc.titleSymplectic stability, analytic stability in non-algebraic complex geometry
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