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

作　　者：邱志敏 QIU Zhi-min(College of Letters and Science,Fuzhou Institute of Technology,Fuzhou,Fujian 350506,China)

机构地区：[1]福州理工学院文理学院,福建福州350506

出　　处：《宁德师范学院学报（自然科学版）》2024年第1期1-3,9,共4页Journal of Ningde Normal University(Natural Science)

基　　金：福建省教育科学“十三五”规划2020年度课题研究项目(FJJKCG20-119).

摘　　要：为证明第一陈类除c_(1)=0之外的正定性c_(1)>0和负定性c_(1)<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c_(1)=0、正定性c_(1)>0、负定性c_(1)<0都是形变稳定的.In order to prove the stability of the first Chern class’s positivity(c_(1)>0)and negativity(c_(1)<0)under complex structural deformation other than c_(1)=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 c_(1)=0,positivity(c_(1)>0)and negativity(c_(1)<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 

分 类 号：O186.1[理学—数学]