The arithmetic Hodge index theorem for adelic line bundles
Author(s): Yuan, Xinyi; Zhang, Shou-Wu
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http://arks.princeton.edu/ark:/88435/pr1n112| Abstract: | In this paper, we prove index theorems for integrable metrized line bundles on projective varieties over complete fields and number fields respectively. As applications, we prove a non-archimedean analogue of the Calabi theorem and a rigidity theorem about the preperiodic points of algebraic dynamical systems. |
| Publication Date: | Apr-2017 |
| Electronic Publication Date: | 12-May-2016 |
| Citation: | Yuan, Xinyi, Zhang, Shou-Wu. (2017). The arithmetic Hodge index theorem for adelic line bundles. MATHEMATISCHE ANNALEN, 367 (1123 - 1171. doi:10.1007/s00208-016-1414-1 |
| DOI: | doi:10.1007/s00208-016-1414-1 |
| ISSN: | 0025-5831 |
| EISSN: | 1432-1807 |
| Pages: | 1123 - 1171 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | MATHEMATISCHE ANNALEN |
| Version: | Author's manuscript |
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