The arithmetic Hodge index theorem for adelic line bundles

Xinyi Yuan, Shou Wu Zhang

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1123-1171
Number of pages49
JournalMathematische Annalen
Issue number3-4
StatePublished - Apr 1 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics


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