渡邊祐太

ワタナベユウタ | WATANABE Yuta

所属機関・部署：
ホームページURL (1件)： https://sites.google.com/view/yuta-watanabe-math-webpage

研究分野 (1件)：幾何学

研究キーワード (3件)：消滅定理 , 特異エルミート計量 , L2-評価

論文 (5件)：

Yuta Watanabe. Dual Nakano positivity and singular Nakano positivity of direct image sheaves. Nagoya Mathematical Journal (accepted). 2024
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
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
Yuta Watanabe. Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics. Mathematische Zeitschrift. 2023. 303. 4
Yuta WATANABE. COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS. Kyushu Journal of Mathematics. 2021. 75. 2. 323-349

MISC (4件)：

Takahiro Inayama, Shin-ichi Matsumura, Yuta Watanabe. Singular Nakano positivity of direct image sheaves of adjoint bundles. 2024
Yuta Watanabe. $\omega$-trace and Griffiths positivity for singular Hermitian metrics. 2024
Yuta Watanabe, Yongpan Zou. On the direct image of the adjoint big and nef line bundles. 2024
Yuta Watanabe. $L^2$-type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves. 2022

講演・口頭発表等 (13件)：

Nakano-Nadel type, Bogomolov-Sommese type vanishing involving multiplier ideals
(Workshop on Complex Geometry in Osaka 2024 2024)
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)
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)
Vanishing theorems involving multiplier ideal sheaves
(Young Mathematicians Workshop on Several Complex Variables 2023 2023)
Vanishing theorems involving multiplier ideal sheaves
(HAYAMA Symposium on Complex Analysis in Several Variables XXIV, (short communications) 2023)

学歴 (3件)：

経歴 (1件)：

所属学会 (1件)：

日本数学会

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渡邊 祐太