Projective spectrum and kernel bundle

被引：0

作者：

HE Wei ^{[1
]}

YANG RongWei ^{[2
]}

机构：

[1] Department of Mathematics,Southeast University

[2] Department of Mathematics and Statistics,The State University of New York

来源：

ScienceChina(Mathematics) | 2015年 / 58卷 / 11期

基金：

中国国家自然科学基金;

关键词：

projective spectrum; domain of holomorphy; Clifford algebra; kernel bundle; Chern character;

D O I：

暂无

中图分类号：

O185 [射影（投影）几何、画法几何];

学科分类号：

摘要：

For a tuple A=（A;,A;,…,A;） of elements in a unital algebra B over C,its projective spectrum P（A） or p（A） is the collection of z∈C;,or respectively z∈P;,such that A（z）=z;A;+z;A;+…+z;A;is not invertible in Β.The first half of this paper proves that if B is Banach then the resolvent set P;（A） consists of domains of holomorphy.The second half computes the projective spectrum for the generating vectors of a Clifford algebra.The Chern character of an associated kernel bundle is shown to be nontrivial.

引用

页码：2363 / 2372

页数：10

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