Takahiro Inayama

activity

20182026

most citedNakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type

23 citations · 38 across the 11 of their papers we have counts for

collaborators

13 papers

math.CV2026

Asymptotic expansions of $L^{2}$ -extension indices and curvature positivity

Takahiro Inayama

In this paper, we prove an asymptotic expansion of the $L^{2}$ -extension index of a smooth Hermitian metric on a holomorphic vector bundle, in which the Chern curvature appears as th…

math.CV2026

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…

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 Kähler 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

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…

math.CV2023★ 1 cited

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 $L^{2}$ -extension theorem is satisfied with r…

math.CV2022

$L^{2}$ -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.CV2021

Singular Hermitian metrics with isolated singularities

Takahiro Inayama

In this paper, we study the coherence of a higher rank analogue of a multiplier ideal sheaf. Key tools of the study are Hörmander's $L^{2}$ -estimate and a singular version of a Demai…

math.CV2021

Optimal $L^{2}$ -extensions on tube domains and a simple proof of Prékopa's theorem

Takahiro Inayama

We prove the optimal $L^{2}$ -extension theorem of Ohsawa-Takegoshi type on a tube domain. As an application, we give a simple proof of Prékopa's theorem.

math.CV2020

From Hörmander's $L^{2}$ -estimates to partial positivity

Takahiro Inayama

In this article, using a twisted version of Hörmander's $L^{2}$ -estimate, we give new characterizations of notions of partial positivity, which are uniform $q$ -positivity and RC-posi…

math.CV2020★ 23 cited

Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type

Takahiro Inayama

In this article, we propose a definition of Nakano semi-positivity of singular Hermitian metrics on holomorphic vector bundles. By using this positivity notion, we establish $L^{2}$ -…

math.CV2019★ 2 cited

Pseudonorms on direct images of pluricanonical bundles

Takahiro Inayama

We study pseudonorms on pluricanonical bundles over Stein manifolds. We prove that the pseudonorms determine holomorphic structures of Stein manifolds under certain assumptions. Th…

math.CV2019★ 3 cited

A converse of Hörmander's $L^{2}$ -estimate and new positivity notions for vector bundles

Genki Hosono, Takahiro Inayama

We study conditions of Hörmander's $L^{2}$ -estimate and the Ohsawa-Takegoshi extension theorem. Introducing a twisted version of Hörmander-type condition, we show a converse of Hörma…

math.CV2018★ 9 cited

$L^{2}$ estimates and vanishing theorems for holomorphic vector bundles equipped with singular Hermitian metrics

Takahiro Inayama

We investigate singular Hermitian metrics on vector bundles, especially strictly Griffiths positive ones. $L^{2}$ esitimates and vanishing theorems usually require an assumption that…

Asymptotic expansions of L2-extension indices and curvature positivity

Partial positivity is not preserved by marginalization

Singular Nakano positivity of direct image sheaves of adjoint bundles

Nakano positivity of singular Hermitian metrics: Approximations and applications

A note on characterizing pluriharmonic functions via the Ohsawa--Takegoshi extension theorem

L2-extension indices, sharper estimates and curvature positivity

Singular Hermitian metrics with isolated singularities

Optimal L2-extensions on tube domains and a simple proof of Prékopa's theorem

From Hörmander's L2-estimates to partial positivity

Nakano positivity of singular Hermitian metrics and vanishing theorems of Demailly-Nadel-Nakano type

Pseudonorms on direct images of pluricanonical bundles

A converse of Hörmander's L2-estimate and new positivity notions for vector bundles

L2 estimates and vanishing theorems for holomorphic vector bundles equipped with singular Hermitian metrics

Asymptotic expansions of $L^{2}$ -extension indices and curvature positivity

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

Optimal $L^{2}$ -extensions on tube domains and a simple proof of Prékopa's theorem

From Hörmander's $L^{2}$ -estimates to partial positivity

A converse of Hörmander's $L^{2}$ -estimate and new positivity notions for vector bundles

$L^{2}$ estimates and vanishing theorems for holomorphic vector bundles equipped with singular Hermitian metrics