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Pasternak-Winiarski,On the dependence of the reproducing kernel on the weight of integration, J

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math.CV 1

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2026 1

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Boundary Behavior of Bisectional Curvatures for Weighted Bergman Metrics

math.CV · 2026-05-17 · unverdicted · novelty 6.0

The paper gives explicit formulas and quantitative bounds for weighted bisectional curvature using L2 projections and the squeezing function, proving asymptotic coincidence with the unit ball at strongly pseudoconvex points and unifying known results for Kähler-Einstein metrics.

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  • Boundary Behavior of Bisectional Curvatures for Weighted Bergman Metrics math.CV · 2026-05-17 · unverdicted · none · ref 13

    The paper gives explicit formulas and quantitative bounds for weighted bisectional curvature using L2 projections and the squeezing function, proving asymptotic coincidence with the unit ball at strongly pseudoconvex points and unifying known results for Kähler-Einstein metrics.