71 citations · 404 across the 38 of their papers we have counts for
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math.CV2013★ 71 cited
The openness conjecture for plurisubharmonic functions
Bo Berndtsson
We give a proof of the openness conjecture of Demailly and Kollár.
math.CV2013
The openness conjecture for projective manifolds
Bo Berndtsson
We give a proof of the openness conjecture of Demailly and Kollár for positively curved singular metrics on ample line bundles over projective varieties. As a corollary it follows…
math.DG2013★ 10 cited
A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
Bo Berndtsson
For a metric on the anticanonical bundle, , of a Fano manifold we consider the volume of We prove that the logarithm of the volume is concave…