The Trace Form over Cyclic Number Fields

Wilmar Bolaños, Guillermo Mantilla-Soler

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In the mid 80's Conner and Perlis showed that for cyclic number fields of prime degree p the isometry class of integral trace is completely determined by the discriminant. Here we generalize their result to tame cyclic number fields of arbitrary degree. Furthermore, for such fields, we give an explicit description of a Gram matrix of the integral trace in terms of the discriminant of the field

Original languageEnglish
Pages (from-to)947-969
Number of pages23
JournalCanadian Journal of Mathematics
Volume73
Issue number4
DOIs
Publication statusPublished - Aug 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • Cyclic number fields
  • trace form

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