Finiteness of certain products of algebraic groups over a finite field (Algebraic Number Theory and Related Topics 2012)

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Let G_{1}, ..., G_{n} be smooth connected and commutative algebraic groups over a finite field F. We show the finiteness of the tensor product (G_{1}Motimescdots Motimes G_{n})(Spec F) of G_{1}, ..., G_{n} in the category of Mackey functors and also Ivorra-Rülling s K-group T(G_{1}, ..., G_{n})(Spec F) associated with those algebraic groups as reciprocity functors. We apply this to prove that, for a product of open curves, the finiteness of the relative Chow group and an abelian fundamental group which classies abelian coverings with bounded ramication along the boundary.

"Algebraic Number Theory and Related Topics 2012". December 3～7, 2012. edited by Atsushi Shiho, Tadashi Ochiai and Noriyuki Otsubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

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詳細情報 詳細情報について

  • CRID
    1050845760790426752
  • NII論文ID
    110009911433
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/232888
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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