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math.AG2026
A flatness criterion for pseudo-effective sheaves on compact Kähler spaces
Junyan Cao, Ya Deng, Shin-ichi Matsumura
In this paper, we prove that if is a pseudo-effective sheaf with vanishing first Chern class on a klt compact Kähler space , then, after passing to a finite quasi-étale cove…
math.CV2026
Hodge theory for twisted log-differential forms
Junyan Cao
In this survey, we review recent developments in extending Hodge theory to differential forms with values in bundles equipped with singular metrics, based on joint work with Ya Den…