The arithmetic Hodge index theorem for adelic line bundles
| Autor: | Xinyi Yuan, Shouwu Zhang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Integrable system Dynamical systems theory General Mathematics 010102 general mathematics Rigidity (psychology) Algebraic number field Hodge index theorem 01 natural sciences Algebra 0103 physical sciences Line (geometry) 010307 mathematical physics 0101 mathematics Algebraic number Mathematics |
| Zdroj: | Mathematische Annalen. 367:1123-1171 |
| ISSN: | 1432-1807 0025-5831 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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