• Medientyp: E-Artikel
  • Titel: The relative class number one problem for function fields, I
  • Beteiligte: Kedlaya, Kiran S.
  • Erschienen: Springer Science and Business Media LLC, 2022
  • Erschienen in: Research in Number Theory, 8 (2022) 4
  • Sprache: Englisch
  • DOI: 10.1007/s40993-022-00369-y
  • ISSN: 2522-0160; 2363-9555
  • Schlagwörter: Algebra and Number Theory
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: AbstractWe reduce the classification of finite extensions of function fields (of curves over finite fields) with the same class number to a finite computation; complete this computation in all cases except when both curves have base field $$\mathbb {F}_2$$ F 2 and genus $$>1$$ > 1 ; and give a conjectural answer in the remaining cases. The conjecture will be resolved in subsequent papers.