Yuta Watanabe

activity

20242026

collaborators

5 papers

math.CV2026

$L^{2}$ -Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Yuta Watanabe

In this paper, in order to develop a more general $L^{2}$ -theory for the $\partial$ -operator on complex spaces, we provide $L^{2}$ -Dolbeault fine resolutions and isomorphism…

math.CO2025

Combinatorial characterzations of $T$ -designs in the nonbinary Johnson scheme

Hiroshi Nozaki, Yuta Watanabe

We study $T$ -designs in the nonbinary Johnson scheme. This scheme generalizes both the Johnson and Hamming schemes and admits a bivariate $Q$ -polynomial structure. Zhu (2021) provi…

math.CV2024

Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds

Yuta Watanabe

Let $X$ be a weakly pseudoconvex manifold and $L ⟶ X$ be a holomorphic line bundle with a singular positive Hermitian metric $h$ . In this article, we provide a points…

math.CO2024

Terwilliger Algebra of the Ordered Hamming Scheme

Yuta Watanabe

This paper delves into the Terwilliger algebra associated with the ordered Hamming scheme, which extends from the wreath product of one-class association schemes and was initially…

math.DG2024

$ω$ -trace and Griffiths positivity for singular Hermitian metrics

Yuta Watanabe

In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $ω$ -trace and RC, where $ω$ is a Hermitian metric, and show that these quasi-posi…

L2-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Combinatorial characterzations of T-designs in the nonbinary Johnson scheme

Bigness of adjoint linear subsystem and approximation theorems with ideal sheaves on weakly pseudoconvex manifolds

Terwilliger Algebra of the Ordered Hamming Scheme

ω-trace and Griffiths positivity for singular Hermitian metrics

$L^{2}$ -Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Combinatorial characterzations of $T$ -designs in the nonbinary Johnson scheme

$ω$ -trace and Griffiths positivity for singular Hermitian metrics