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
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- On a generalization of modulus pairs and its applications (Algebraic Number Theory and Related Topics 2015)
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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.
収録刊行物
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- 数理解析研究所講究録別冊
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数理解析研究所講究録別冊 B72 101-117, 2018-12
Research Institute for Mathematical Sciences, Kyoto University
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詳細情報 詳細情報について
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- CRID
- 1050845763804803840
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- NII論文ID
- 120006766073
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- NII書誌ID
- AA12196120
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- ISSN
- 18816193
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- HANDLE
- 2433/244738
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- 本文言語コード
- ja
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- CiNii Articles