On the complexity of the isomorphism relation for fields of finite transcendence degree

Simon Thomas, Boban Velickovic

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Confirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221-272), we prove that the isomorphism relation for fields of finite transcendence degree is a universal essentially countable Borel equivalence relation. We also prove that the theory of fields of finite transcendence degree does not admit canonical models.

Original languageEnglish (US)
Pages (from-to)347-363
Number of pages17
JournalJournal of Pure and Applied Algebra
Volume159
Issue number2-3
DOIs
StatePublished - May 24 2001

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • 04A15
  • 12L99

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