Arithmetic structure of CMSZ fake projective planes

Fumiharu Kato, Hiroyuki Ochiai

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We show that the fake projective planes that are constructed from dyadic discrete subgroups discovered by Cartwright, Mantero, Steger, and Zappa are realized as connected components of certain unitary Shimura surfaces. As a corollary we show that these fake projective planes have models defined over the number field Q (sqrt(-3), sqrt(5)).

Original languageEnglish
Pages (from-to)1166-1185
Number of pages20
JournalJournal of Algebra
Volume305
Issue number2
DOIs
Publication statusPublished - Nov 15 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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