48 citations · 93 across the 7 of their papers we have counts for
8 papers
On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings
Yoshinori Gongyo, Shigeharu Takayama
We give a twisted version of the Kawamata semi-positivity theorem by the -line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to th…
Positivity of twisted relative pluricanonical bundles and their direct images
Mihai Păun, Shigeharu Takayama
Our main goal in this article is to establish a quantitative version of the positivity properties of twisted relative pluricanonical bundles and their direct images. The notion of…
On uniformly effective birationality and the Shafarevich Conjecture over curves
Gordon Heier, Shigeharu Takayama
Let be a smooth projective curve of genus , and be a finite subset of cardinality . We give an effective upper bound on the number of deformation types of a…
Remarks on the extension of twisted Hodge metrics
Christophe Mourougane, Shigeharu Takayama
This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.
Extension of twisted Hodge metrics for Kähler morphisms
Christophe Mourougane, Shigeharu Takayama
Let f : X --> Y be a holomorphic map of complex manifolds, which is proper, Kahler, and surjective with connected fibers, and which is smooth over Y-Z the complement of an analytic…
Hodge metrics and the curvature of higher direct images
Christophe Mourougane, Shigeharu Takayama
Using the harmonic theory developed by Takegoshi for representation of relative cohomology and the framework of computation of curvature of direct images bundles by Berndtsson, we…