第一陈类在复结构形变下的稳定性
The stability of the first Chern class under complex structural deformation
邱志敏1
作者信息
- 1. 福州理工学院 文理学院,福建 福州 350506
- 折叠
摘要
为证明第一陈类除c1 = 0之外的正定性c1>0和负定性c1<0在复结构形变下的稳定性,考虑对于任意连通复空间X上的凝聚层F,推导出层上同调满足的公式,证明第一陈类的正定性和负定性在复结构形变下是稳定的.第一陈类c1 = 0、正定性c1>0、负定性c1<0都是形变稳定的.
Abstract
In order to prove the stability of the first Chern class's positivity(c1>0)and negativity(c1<0)under complex structural deformation other than c1=0,we considered coherent sheaf F on any connected complex space X and deduced the formula of sheaf cohomology that the stability of the first Chern class's positivity and negativity under complex structural deformation was proved.In summary,the first Chern class's c1=0,positiv-ity(c1>0)and negativity(c1<0)are all deformation stable.
关键词
复结构的形变/形变稳定性/第一陈类/正定性/负定性Key words
deformation of complex structures/stability of deformation/first Chern class/positivity/negativity引用本文复制引用
基金项目
福建省教育科学"十三五"规划2020年度课题研究项目(FJJKCG20-119)
出版年
2024
NETL
NSTL
万方数据