2 citations · 4 across the 12 of their papers we have counts for
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Steenbrink vanishing theorem for big line bundles
Yuta Watanabe
In this paper, we generalize the Steenbrink vanishing theorem for ample line bundles on complex projective varieties by extending it to big line bundles on compact complex spaces w…
Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces
Yuta Watanabe
In this paper, in order to develop a more general -theory for the -operator on complex spaces, we introduce appropriate notions of singular Griffiths/Naka…
Global embeddings of weakly pseudoconvex complex spaces and refined Runge-type approximation theorems
Yuta Watanabe
Runge-type approximation principles for holomorphic sections of adjoint line bundles are known only for weakly pseudoconvex manifolds. In this paper, we establish a refined form of…
Dual Nakano positivity and singular Nakano positivity of direct image sheaves
Yuta Watanabe
Let be a surjective projective map and be a holomorphic line bundle on equipped with a (singular) semi-positive Hermitian metric . In this article, by studyin…
-type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves
Yuta Watanabe
In this article, we first establish an -type Dolbeault isomorphism for the sheaf of logarithmic differential forms twisted by the multiplier ideal sheaf. By using this isomorp…
Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity
Yuta Watanabe
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular type vanishing theorem involving -subsheaves on weakly pseudoconvex manifolds…
Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics
Yuta Watanabe
We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi-positivity of singular Hermitian metric…