On the existence of stable bundles with prescribed Chern classes on Calabi-Yau threefolds

被引：1
|
作者：
Andreas, Bjoern [1 ]
Curio, Gottfried [2 ]
机构：
[1] Free Univ Berlin, Inst Math, D-14195 Berlin, Germany
[2] Univ Munich, Dept Phys, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 76卷
关键词：
Stable bundles; Calabi-Yau threefolds; Spectral covers; Heterotic string;
D O I：
10.1016/j.geomphys.2013.10.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a case of the conjecture of Douglas, Reinbacher and Yau about the existence of stable vector bundles with prescribed Chern classes on a Calabi-Yau threefold. For this purpose we prove the existence of certain stable vector bundle extensions over elliptically fibered Calabi-Yau threefolds. (C) 2013 Elsevier B.V. All rights reserved.
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页码：235 / 241
页数：7
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