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

页码：291 / 298

页数：8