Yuta Watanabe

activity

20172026

most citedDual Nakano positivity and singular Nakano positivity of direct image sheaves

2 citations · 4 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CV2022

$L^{2}$ -type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves

Yuta Watanabe

In this article, we first establish an $L^{2}$ -type Dolbeault isomorphism for the sheaf of logarithmic differential forms twisted by the multiplier ideal sheaf. By using this isomorp…

math.CV2022

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 $L^{2}$ -subsheaves on weakly pseudoconvex manifolds…

math.CV2022

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…

L2-type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves

Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity

Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics

$L^{2}$ -type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves