关于稳定秩复向量丛的分类
代数几何
2007-05-23 v1 K理论与同调
摘要
利用对 Atiyah--Hirzebruch 谱序列的详细分析，我们描述了紧复流形上对应于稳定秩复向量丛的 Chern 类的上同调类元组。这一分类在广义旗流形上变得更为有效，其中 Lie 代数形式体系与具体可积条件以构造性方式描述了向量丛的 Chern 类。
引用
@article{arxiv.math/0609282,
title = {On the classification of complex vector bundles of stable rank},
author = {Constantin Bǎnicǎ and Mihai Putinar},
journal= {arXiv preprint arXiv:math/0609282},
year = {2007}
}
备注
21 pages; The work was completed in 1990, and circulated as a Goettingen preprint Heft 5 (1991). Also, the main results were announced in the note [C. Banica, M. Putinar: Fibr\'{e}s vectoriels complexes de rang stable sur les vari\'{e}t\'{e}s complexes compactes, C. R. Acad. Sci. Paris. t. 314, Serie I (1992), 829-832.] The present published version is not different, except some minor cosmetic changes, than the 1990 original article