SMOOTH, ISOLATED CURVES IN FAMILIES OF CALABI-YAU THREEFOLDS IN HOMOGENEOUS SPACES

被引：7
|
作者：
Knutsen, Andreas Leopold [1 ]
机构：
[1] Univ Bergen, Dept Math, Postboks 7800, N-5020 Bergen, Norway
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 05期
关键词：
isolated curves; deformations; BN general K3 surfaces; Calabi-Yau threefolds; PROJECTIVE MODELS;
D O I：
10.4134/JKMS.2013.50.5.1033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of smooth isolated curves of different degrees and genera in Calabi-Yau threefolds that are complete intersections in homogeneous spaces. Along the way, we classify all degrees and genera of smooth curves on BN general K3 surfaces of genus mu, where 5 <= mu <= 10. By results of Mukai, these are the K3 surfaces that can be realised as complete intersections in certain homogeneous spaces.
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页码：1033 / 1050
页数：18
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