Jumps, folds and hypercomplex structures

被引：1
|
作者：
Bielawski, Roger [1 ]
Peternell, Carolin [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Differentialgeometrie, Welfengarten 1, D-30167 Hannover, Germany
来源：
MANUSCRIPTA MATHEMATICA | 2020年 / 163卷 / 3-4期
关键词：
53C26; 53C28;
D O I：
10.1007/s00229-019-01160-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the geometry of the Kodaira moduli space M of sections of pi : Z -> P-1, the normal bundle of which is allowed to jump from O(1)(n) to O(1)(n-2m) circle plus O(2)(m) circle plus O-m. In particular, we identify the natural assumptions which guarantee that the Obata connection of the hypercomplex part of M extends to a logarithmic connection on M.
引用
收藏
页码：291 / 298
页数：8
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