3 citations · 4 across the 6 of their papers we have counts for
13 papers
Asymptotic expansions of -extension indices and curvature positivity
Takahiro Inayama
In this paper, we prove an asymptotic expansion of the -extension index of a smooth Hermitian metric on a holomorphic vector bundle, in which the Chern curvature appears as th…
Partial positivity is not preserved by marginalization
Takahiro Inayama
In this paper, we show that partial positivity is not preserved by marginalization in both the real and complex settings. We also give a sufficient condition for the preservation o…
Singular Nakano positivity of direct image sheaves of adjoint bundles
Takahiro Inayama, Shin-ichi Matsumura, Yuta Watanabe
In this paper, we consider a proper Kähler fibration and a singular Hermitian line bundle on with semi-positive curvature. We prove that the direct…
Nakano positivity of singular Hermitian metrics: Approximations and applications
Takahiro Inayama, Shin-ichi Matsumura
This paper studies the approximation of singular Hermitian metrics on vector bundles using smooth Hermitian metrics with Nakano semi-positive curvature on Zariski open sets. We sho…
A note on characterizing pluriharmonic functions via the Ohsawa--Takegoshi extension theorem
Takahiro Inayama
For a continuous function, we prove that the function is pluriharmonic if and only if the equality part of the optimal Ohsawa--Takegoshi -extension theorem is satisfied with r…
-extension indices, sharper estimates and curvature positivity
Takahiro Inayama
In this paper, we introduce a new concept of -extension indices. This index is a function that gives the minimum constant with respect to the -estimate of an Ohsawa--Take…