复5维完全交的模空间维数  

Dimension of Moduli Space of Complex 5-dimensional Complete Intersections

作　　者：陈雪晴 王健波 王玉玉[2] Chen Xueqing;Wang Jianbo;Wang Yuyu(School of Mathenmatics,Tianjin University,Tianjin 300350,China;College of Mathematical Science,Tianjn Normal Unirversity,Tianjin 300387,China)

机构地区：[1]天津大学数学学院,天津300350 [2]天津师范大学数学科学学院,天津300387

出　　处：《南开大学学报（自然科学版）》2020年第6期72-77,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the Natural Science Foundation of Tianjin City of China(19JCYBJC30300)。

摘　　要：利用Brückmann的公式计算了复五维完全交的模空间维数.对于一组特定的多重次数,作者证明了这组多重次数用Libgober和Wood的方法生成的多重次数所对应的完全交彼此微分同胚,且其模空间维数相异.The dimension of moduli space of complex 5-dimensional complete intersections are calculated by using the formula of Brückmann. With the method of Libgober and Wood of generating larger sets of homeomorphic or diffeomorphic complete intersections from pairs-d and-d′, for specific multidegrees, it is shown that the dimensions of moduli spaces of corresponding diffeomorphic complex 5-dimensional complete intersections are all be different.

关 键 词：完全交 微分同胚 模空间 维数 

分 类 号：O152[理学—数学]