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math.AG2014
Additivity of the approximation functional of currents induced by Bergman kernels
Junyan Cao
In this note, we give a positive answer to a question raised by Jean-Pierre Demailly in 2013, and show the additivity of the approximation functional of closed positive -cur…
math.AG2014
Ohsawa-Takegoshi extension theorem for compact Kähler manifolds and applications
Junyan Cao
Our main goal in this article is to prove a new extension theorem for sections of the canonical bundle of a weakly pseudoconvex Kähler manifold with values in a line bundle endowed…