On the rational K2 of a curve of GL2 type over a global field of positive characteristic

Masataka Chida, Satoshi Kondo, Takuya Yamauchi

研究成果: Article査読

1 被引用数 (Scopus)

抄録

If X is an integral model of a smooth curve X over a global field k, there is a localization sequence comparing the K-theory of X and X. We show that K1(X) injects into K1(X) rationally, by showing that the previous boundary map in the localization sequence is rationally a surjection, for X of GL2 type and k of positive characteristic not 2. Examples are given to show that the relative G1 term can have large rank. Examples of such curves include non-isotrivial elliptic curves, Drinfeld modular curves, and the moduli of D-elliptic sheaves of rank 2.

本文言語English
ページ(範囲)313-342
ページ数30
ジャーナルJournal of K-Theory
14
2
DOI
出版ステータスPublished - 2014 6 30

ASJC Scopus subject areas

  • 代数と数論
  • 幾何学とトポロジー

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