Which curves over z have points with coordinates in a discrete ordered ring?

Research output: Contribution to journalArticlepeer-review

Abstract

A criterion is given for curves defined over Z to have an infinite point in a discrete ordered ring. Using this, one can decide effectively whether a given polynomial in Z(X, Y] has a zero in a model for the axioms of open induction. Riemann-Roch for curves over Q is the main tool used.

Original languageEnglish (US)
Pages (from-to)181-189
Number of pages9
JournalTransactions of the American Mathematical Society
Volume264
Issue number1
DOIs
StatePublished - Mar 1981
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Which curves over z have points with coordinates in a discrete ordered ring?'. Together they form a unique fingerprint.

Cite this