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We study meromorphic actions of unipotent complex Lie groups on compact Kähler manifolds using moment map techniques. We introduce natural stability conditions and show that sets of semistable points are Zariski-open and admit geometric quotients that carry compactifiable Kähler structures obtained by symplectic reduction. The relation of our complex-analytic theory to the work of Doran--Kirwan regarding the Geometric Invariant Theory of unipotent group actions on projective varieties is discussed in detail.
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IsRelatedTo ARXIV 1501.03372 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1501.03372 Source : ScholeXplorer IsRelatedTo DOI 10.5802/aif.3052 Source : ScholeXplorer IsRelatedTo HANDLE 11590/302593
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