On a generalization of modulus pairs and its applications (Algebraic Number Theory and Related Topics 2015)

MIYAZAKI, Hiroyasu

Bibliographic Information

Other Title

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

Abstract

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.

Journal

RIMS Kokyuroku Bessatsu

RIMS Kokyuroku Bessatsu B72 101-117, 2018-12

Research Institute for Mathematical Sciences, Kyoto University

Keywords

Details 詳細情報について

CRID: 1050845763804803840

NII Article ID: 120006766073

NII Book ID: AA12196120

ISSN: 18816193

HANDLE: 2433/244738

Text Lang: ja

Article Type: departmental bulletin paper

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