The strong rigidity theorem for non-archimedean uniformization

Masa Nori Ishida, Fumiharu Kato

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

In this paper, we present a purely algebraic proof of the strong rigidity for non-Archimedean uniformization, in case the base ring is of characteristic zero. In the last section, we apply this result to Mumford’s construction of fake projective planes. In view of recent result on discrete groups by Cartwright, Mantero, Steger and Zappa, we see that there exist at least three fake projective planes.

Original languageEnglish
Pages (from-to)537-555
Number of pages19
JournalTohoku Mathematical Journal
Volume50
Issue number4
DOIs
Publication statusPublished - 1998 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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