モデュラス対の一般化と応用について (Algebraic Number Theory and Related Topics 2015)

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  • 宮﨑, 弘安
    Institut de Mathematiques de Jussieu (IMJ-PRG) ・ RIKEN, Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)

書誌事項

タイトル別名
  • On a generalization of modulus pairs and its applications (Algebraic Number Theory and Related Topics 2015)

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抄録

In this article, we present a generalization of the notion of modulus pairs and and define the higher Chow groups with modulus of the generalized modulus pairs. We generalize, to the modulus setting, the mathbb{A}^{1} ‐homotopy invariance of the higher Chow groups of schemes. As an application, we prove that the higher Chow groups with modulus over a field of positive characteristic p do not depend on the multiplicity of the modulus divisors after p is inverted. This is a research announcement of [13] and some of the proofs are omitted. The more details are available in [13].

"Algebraic Number Theory and Related Topics 2015". November 30 - December 4, 2015. edited by Hiroki Takahashi, Yasuo Ohno and Takahiro Tsushima. 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
    1050845763804803840
  • NII論文ID
    120006766073
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/244738
  • 本文言語コード
    ja
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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