Yuta Watanabe

works on

dolbeault cohomology 1 l2 theory 1 nadel vanishing 1 singular hermitian metrics 1 weakly pseudoconvex spaces 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CV2026

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

Yuta Watanabe

The paper develops an $L^{2}$ -theory for the $ar\partial$-operator on complex spaces with singular Hermitian metrics, providing $L^{2}$ -Dolbeault resolutions and estimates, and uses t…

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.CV2025

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…

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

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

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