表面和膜积分上不可分解的$K_1$类

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2020-07-28 DOI:10.5802/crmath.69

Xi Chen, James D. Lewis, G. Pearlstein

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引用次数: 0

摘要

设X是一个射影代数曲面。我们回顾了不可分解物的K -族K(2) 1，和(X)，并提供了证据，证明膜积分足以检测这些不可分解物。的简历。因此，X是一个曲面，它是可变的。K组，K(2) 1，和(X)组的可组合材料和appoter组的可组合材料有两个不同的类别，即不同类型的可组合材料和不同类型的可组合材料。2020数学学科分类。14C25, 14C30, 14C35。资金。X. Chen和J. D. Lewis得到加拿大自然科学与工程研究委员会的部分资助。收稿日期2019年12月9日，收稿日期2020年5月7日。

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Indecomposable $K_1$ classes on a Surface and Membrane Integrals

Let X be a projective algebraic surface. We recall the K -group K (2) 1,ind(X ) of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes. Résumé. Soit X une surface algébrique projective. Nous rappelons le groupe K , K (2) 1,ind(X ) indécomposables et apporter la preuve que les intégrales membranaires sont suffisantes pour détecter ces classes indécomposables. 2020 Mathematics Subject Classification. 14C25, 14C30, 14C35. Funding. X. Chen and J. D. Lewis partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada. Manuscript received 9th December 2019, accepted 7th May 2020.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.