On the ordinarity of the maximal real subfield of cyclotomic function fields

• Autorzy: Daisuke Shiomi
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.

Kategorie tematyczne

• 11R60: Cyclotomic function fields (class groups, Bernoulli objects, etc.)
• 14H40: Jacobians, Prym varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 165
• Numer: 3
• Strony: 225-242

Daty

wydano

2014

Twórcy

autor

Daisuke Shiomi

• Department of Mathematical Sciences, Faculty of Science, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan

Identyfikatory

DOI

10.4064/aa165-3-2