Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
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math.DG 2years
2026 2verdicts
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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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A Levi-type decomposition on two-step solvable Lie algebras with a complex structure
Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
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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.