CONIFOLD TRANSITIONS FOR COMPLETE INTERSECTION CALABI-YAU THREEFOLDS IN PRODUCTS OF PROJECTIVE SPACES

被引：0
|
作者：
Xu, Jinxing [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2013年 / 15卷 / 04期
关键词：
Calabi-Yau threefolds; conifold transitions; complex structures on connected sums of S-3 x S-3; CURVES;
D O I：
10.1142/S0219199713500090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a generic complete intersection Calabi-Yau threefold defined by sections of ample line bundles on a product of projective spaces admits a conifold transition to a connected sum of S-3 x S-3. In this manner, we obtain complex structures with trivial canonical bundles on some connected sums of S-3 x S-3. This construction is an analogue of that made by Friedman, Lu and Tian who used quintics in P-4.
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页数：15
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