본문 바로가기
KERD
논문KCI 등재

Determination of all subfields of cyclotomic function fields with genus one

안재현|정환엽
대한수학회 (The Korean Mathematical Society)|2005.04|대한수학회논문집 (Communications of the KMS)|제20권 제2호|pp. 259-273

0

조회

0

다운로드

1

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper we determine all sub¯elds with genus one of cyclotomic function ¯elds over rational function ¯elds explicitly.

참고문헌 (6)

  1. "On Hilbert class eld towers of global function elds,in \Drinfeldmodules, modular schemes and applications"", pp.261~271 (1997), World Sci. Publishing
  2. "Ray class elds of global function elds with many rational places" (1999), University of Oldenburg,
  3. "The group of units in GF", pp.245~255 (1977)
  4. "The genus eld of an algebraic function eld", (3), pp.359~375 (1992)
  5. "Number theory in function elds,Graduate Texts in Mathematics", 210 (2002)
  6. ",Introduction to cyclotomic elds,Graduate Texts in Mathematics", 83, pp.83~ (1997)

관련 논문AI추천

Determination of all subfields of cyclotomic function fields with divisor class number two안재현, 정환엽대한수학회 · 대한수학회논문집2007 · 제22권 제2호Cylotomic function fields over finite fields with class number threeDilek Buyruk, Ferruh Ozbudak, Mehpare Bilhan대한수학회 · 대한수학회지2019 · 제56권 제2호Cyclotomic units and divisibility of the class number of function fields안재현, 정환엽대한수학회 · 대한수학회지2002 · 제39권 제5호The $p$-part of divisor class numbers for cyclotomic function fieldsDaisuke Shiomi대한수학회 · 대한수학회논문집2023 · 제38권 제3호HILBERT ℓ-CLASS FIELD TOWERS OF IMAGINARY ℓ-CYCLIC FUNCTION FIELDS정환엽강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Note on average of class numbers of cubic function fields정환엽강원경기수학회 · 한국수학논문집2014 · 제22권 제3호

이 간행물의 다른 논문 (18건)

양의 단면 곡률을 가지는 컴팩트 공간에 대하여고관석pp. 195-207On tor-torsion theoriesM. Golriz, M. H. Bijanzadehpp. 209-219On direct sums in bounded BCK-algebrasYisheng Huangpp. 221-229The mass formula of orders over a dyadic local field전성태, 김인숙pp. 231-238On the genus of certain Drinfeld modular curves김창헌, Daeyeol Jeonpp. 239-246
원문 보기