Yuta Watanabe

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20242026

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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.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…

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

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