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.
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页码：2363 / 2372
页数：10
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