Takahiro Inayama

collaborators

3 papers

math.AG2024

Singular Nakano positivity of direct image sheaves of adjoint bundles

Takahiro Inayama, Shin-ichi Matsumura, Yuta Watanabe

In this paper, we consider a proper KÃ¤hler fibration $f : X \to Y$ and a singular Hermitian line bundle $(L, h)$ on $X$ with semi-positive curvature. We prove that the direct…

math.CV2024

$L^{2}$ -extension indices, sharper estimates and curvature positivity

Takahiro Inayama

In this paper, we introduce a new concept of $L^{2}$ -extension indices. This index is a function that gives the minimum constant with respect to the $L^{2}$ -estimate of an Ohsawa--Take…

math.CV2024

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…

Singular Nakano positivity of direct image sheaves of adjoint bundles

L2-extension indices, sharper estimates and curvature positivity

Nakano positivity of singular Hermitian metrics: Approximations and applications

$L^{2}$ -extension indices, sharper estimates and curvature positivity