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
UNVERDICTED 2representative citing papers
Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.
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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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Curvature at infinity of scalar-flat ALE four-manifolds
Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.