Yusaku Tiba

activity

20142026

most citedThe extension of holomorphic functions on a non-pluriharmonic locus

2 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.SG2026

The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States

Yusaku Tiba

Let $Λ$ be a compact Bohr--Sommerfeld Lagrangian submanifold of a compact Kähler manifold equipped with a holomorphic prequantum line bundle. We study the asymptotic expansion of t…

math.CV2025

Polarizations and Convergences of holomorphic sections on the tangent bundle of a Bohr-Sommerfeld Lagrangian submanifold

Yusaku Tiba

Let $(M, ω)$ be a Kähler manifold and let $(L, \nabla)$ be a prequantum line bundle over $M$ . Let $X \subset M$ be a Bohr-Sommerfeld Lagrangian submanifold of $(L, \nabla)$ . In thi…

math.DG2021

Asymptotic estimates of holomorphic sections on Bohr-Sommerfeld Lagrangian submanifolds

Yusaku Tiba

Let $M$ be a complex manifold and $L$ be a line bundle over $M$ with a Hermitian metric $h$ whose Chern form is a Kähler form $ω$ . Let $X \subset M$ be a Lagrangian submanifold of…

math.CV2019

Cohomology of vector bundles and non-pluriharmonic loci

Yusaku Tiba

In this paper, we study cohomology groups of vector bundles on neighborhoods of a non-pluriharmonic locus in Stein manifolds and in projective manifolds. By using our results, we s…

math.CV2017★ 2 cited

The extension of holomorphic functions on a non-pluriharmonic locus

Yusaku Tiba

Let $n \geq 4$ and let $Ω$ be a bounded hyperconvex domain in $C^{n}$ . Let $φ$ be a negative exhaustive smooth plurisubharmonic function on $Ω$ . We show that any holomorph…

math.CV2014

On a convex level set of a plurisubharmonic function and the support of the Monge-Ampère current

Yusaku Tiba

In this paper, we study a geometric property of a continuous plurisubharmonic function which is a solution of the Monge-Ampère equation and has a convex level set. To prove our mai…