FIRST AND SECOND <i>K</i>-GROUPS OF AN ELLIPTIC CURVE OVER A GLOBAL FIELD OF POSITIVE CHARACTERISTIC

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KONDO S., Yasuda S.

ANNALES DE L INSTITUT FOURIER, cilt.68, sa.5, ss.2005-2067, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5802/aif.3202
  • Dergi Adı: ANNALES DE L INSTITUT FOURIER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2005-2067
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

In this paper, we show that the maximal divisible subgroup of groups K-1 and K-2 of an elliptic curve E over a function field is uniquely divisible. Further those K-groups modulo this uniquely divisible subgroup are explicitly computed. We also calculate the motivic cohomology groups of the minimal regular model of E, which is an elliptic surface over a finite field.