Refined L^∞ lower (and conditional upper) bounds for Kähler-Einstein potentials on stable varieties near the non-klt locus via iterated logarithmic functions and explicit subsolutions/supersolutions to degenerate complex Monge-Ampère equations.
and Boucksom, S\'ebastien and Guedj, Vincent and Zeriahi, Ahmed , TITLE =
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Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.
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$L^\infty$-estimates of K\"ahler-Einstein potentials on stable varieties
Refined L^∞ lower (and conditional upper) bounds for Kähler-Einstein potentials on stable varieties near the non-klt locus via iterated logarithmic functions and explicit subsolutions/supersolutions to degenerate complex Monge-Ampère equations.
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Bottom of the spectrum of complete noncompact K\"{a}hler manifolds
Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.