21 citations · 151 across the 23 of their papers we have counts for
23 papers
Dynamical construction of Kähler-Einstein metrics on bounded pseudoconvex domains
Hajime Tsuji
In this note we shall prove that the complete Kähler-Einstein volume form on a bounded strongly pseudoconvex domain with -boundary is the normalized limit of a sequence…
Global generation of the direct images of relative pluricanonical systems
Hajime Tsuji
We prove global generation of the direct images of relative pluricanonical systems of sufficiently large and divisible multiples over the complement of the discriminant locus.
Canonical singular hermitian metrics on relative logcanonical bundles
Hajime Tsuji
This supersedes 0704.0566. We prove the invariance of logarithmic plurigenera for a projective family of KLT pairs and the adjoint line bundle of KLT line bundles. The proof uses t…
Ricci iterations and canonical Kähler-Einstein currents on log canonical pairs
Hajime Tsuji
In this article we construct a canonical Kähler-Einstein current on a LC (log canonical) pairs of log general type as the limit of a sequence of canonical Kähler-Einstein currents…
Canonical measures and the dynamical systems of Bergman kernels
Hajime Tsuji
In this article, we construct the canonical semipositive current or the canonical measure ( the potential of the canonical semipositive current) on a smooth projective variety o…
Extension of log pluricanonical forms from subvarieties
Hajime Tsuji
In this paper, I prove a very general extension theorem for log pluricanonical systems. The main application of this extension theorem is (together with Kawamata's subadjunction th…