On the positivity of direct image bundles
- Авторы: Li Z.1, Щаньюй Чжоу X.2,3
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Учреждения:
- School of Science, Beijing University of Posts and Telecommunications
- Academy of Mathematics and Systems Science, Chinese Academy of Sciences
- Лаборатория Математики имени Хуа Ло-Кена, Китайская Академия Наук
- Выпуск: Том 87, № 5 (2023)
- Страницы: 140-163
- Раздел: Статьи
- URL: https://ogarev-online.ru/1607-0046/article/view/140434
- DOI: https://doi.org/10.4213/im9336
- ID: 140434
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Аннотация
In the present paper, we obtain an equivalent relation between the log-plurisubharmonicity of the relative Bergman kernel, the Griffiths and Nakano positivity for the direct image with the natural $L^2$ metric, by finding a converse of Berndtsson's theorem on the direct image. A converse of Berndtsson's generalization of Kiselman minimal principle is also obtained.Bibliography: 30 titles.
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Об авторах
Zhi Li
School of Science, Beijing University of Posts and Telecommunications
Xiangyu Щаньюй Чжоу
Academy of Mathematics and Systems Science, Chinese Academy of Sciences; Лаборатория Математики имени Хуа Ло-Кена, Китайская Академия Наук
Email: xyzhou@math.ac.cn
PhD
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