On the second rational <i>K</i>-group of an elliptic curve over global fields of positive characteristic

KONDO S., Yasuda S.

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, cilt.102, ss.1053-1098, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 102
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1112/plms/pdq045
  • Dergi Adı: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1053-1098
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

Let E be an elliptic curve over a global field of positive characteristic. Let r be the order of zero at s = 0 of the Hasse-Weil L-function with bad factors removed. The Parshin conjecture on the vanishing of higher rational K-theory of projective smooth schemes over finite fields implies dim(Q) K-2(E) circle times(Z) Q = r. It is shown that dimQ K-2(E) circle times(Z) Q >= r.