Homotopy type of smooth weighted complete intersections

被引：1
作者：
Wang JianBo [1 ]
Wang YuYu [2 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[2] Tianjin Normal Univ, Coll Math Sci, Tianjin 300387, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 06期
关键词：
weighted projective space; weighted complete intersection; homotopy type; connected sum; DIFFERENTIABLE STRUCTURES; PROJECTIVE SPACES; COHOMOLOGY; HYPERSURFACES; ORBIFOLD; TOPOLOGY;
D O I：
10.1007/s11425-010-3002-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If the total degree d has no prime divisors less than n+3/2, then we prove that the homotopy type of complex odd dimensional smooth weighted complete intersection X(n) (d;w) is determined by the dimension n, the total degree d, the Euler characteristic and the Kervaire invariant, provided that the weights w = (omega(0),..., omega(n +r)) is pairwise relatively prime.
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页码：1583 / 1594
页数：12
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