On the ordinarity of the maximal real subfield of cyclotomic function fields
Acta Arithmetica (2014)
- Volume: 165, Issue: 3, page 225-242
- ISSN: 0065-1036
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topDaisuke Shiomi. "On the ordinarity of the maximal real subfield of cyclotomic function fields." Acta Arithmetica 165.3 (2014): 225-242. <http://eudml.org/doc/278881>.
@article{DaisukeShiomi2014,
abstract = {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.},
author = {Daisuke Shiomi},
journal = {Acta Arithmetica},
keywords = {cyclotomic function field; Jacobian; Hasse-Witt invariant},
language = {eng},
number = {3},
pages = {225-242},
title = {On the ordinarity of the maximal real subfield of cyclotomic function fields},
url = {http://eudml.org/doc/278881},
volume = {165},
year = {2014},
}
TY - JOUR
AU - Daisuke Shiomi
TI - On the ordinarity of the maximal real subfield of cyclotomic function fields
JO - Acta Arithmetica
PY - 2014
VL - 165
IS - 3
SP - 225
EP - 242
AB - 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.
LA - eng
KW - cyclotomic function field; Jacobian; Hasse-Witt invariant
UR - http://eudml.org/doc/278881
ER -
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