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math.DG2025
A note on orbifold regularity of canonical metrics
Henri Guenancia, Chung-Ming Pan, Mihai Păun
In this short note, we prove that on a compact Kähler variety with log terminal singularities and , any singular Ricci-flat Kähler metric has orbifold singularities i…
math.CV2025
Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in Kähler context
Junyan Cao, Mihai Păun
In this note, motivated by the recent preprint of W. Ou, we pursue three main objectives. The first is to make progress towards the positivity of the relative canonical bundle in t…