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J-GLOBAL ID：202401002140677629
Update date: Oct. 20, 2024
WATANABE Yuta
ワタナベ ユウタ | WATANABE Yuta
Affiliation and department：
Homepage URL (1)：
https://sites.google.com/view/yuta-watanabe-math-webpage
Research field (1)：
Geometry
Research keywords (3)：
Vanishing theorems
, singular Hermitian metrics
, L2-estimates
Papers (5)：
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Yuta Watanabe. Dual Nakano positivity and singular Nakano positivity of direct image sheaves. Nagoya Mathematical Journal (accepted). 2024
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Yuta Watanabe. Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity. Annales de la Faculté des Sciences de Toulouse (accepted). 2024
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Yuta Watanabe. Curvature operator of holomorphic vector bundles and $L^2$-estimate condition for $(n,q)$ and $(p,n)$-forms. TOHOKU MATHEMATICAL JOURNAL (accepted). 2023
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Yuta Watanabe. Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics. Mathematische Zeitschrift. 2023. 303. 4
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Yuta WATANABE. COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS. Kyushu Journal of Mathematics. 2021. 75. 2. 323-349
MISC (4)：
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Takahiro Inayama, Shin-ichi Matsumura, Yuta Watanabe. Singular Nakano positivity of direct image sheaves of adjoint bundles. 2024
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Yuta Watanabe. $\omega$-trace and Griffiths positivity for singular Hermitian metrics. 2024
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Yuta Watanabe, Yongpan Zou. On the direct image of the adjoint big and nef line bundles. 2024
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Yuta Watanabe. $L^2$-type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves. 2022
Lectures and oral presentations (13)：
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Nakano-Nadel type, Bogomolov-Sommese type vanishing involving multiplier ideals
(Workshop on Complex Geometry in Osaka 2024 2024)
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Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity
(第66回函数論シンポジウム 2023)
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Dual Nakano positivity and singular Nakano positivity of direct image sheaves
(第57回函数論サマーセミナー 2023)
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Vanishing theorems involving multiplier ideal sheaves
(Young Mathematicians Workshop on Several Complex Variables 2023 2023)
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Vanishing theorems involving multiplier ideal sheaves
(HAYAMA Symposium on Complex Analysis in Several Variables XXIV, (short communications) 2023)
ｍore...
Education (3)：
- 2021 - 2024 The University of Tokyo Graduate School of Mathematical Sciences
- 2019 - 2021 The University of Tokyo Graduate School of Mathematical Sciences
- 2015 - 2019 Rikkyo University College of Science Department of Mathematics
Professional career (2)：
- mathematical science (The University of Tokyo)
- mathematical science (The University of Tokyo)
Work history (1)：
- 2024/04 - 現在 Chuo University Faculty of Science and Engineering Assistant Professor
Association Membership(s) (1)：
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