Jumps, folds and hypercomplex structures
We investigate the geometry of the Kodaira moduli space M of sections of π : Z → P 1 , the normal bundle of which is allowed to jump from O ( 1 ) n to O ( 1 ) n - 2 m ⊕ O ( 2 ) m ⊕ O m . In particular, we identify the natural assumptions which guarantee that the Obata connection of the hypercomplex...
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| Veröffentlicht in: | Manuscripta mathematica 2020-11, Vol.163 (3-4), p.291-298 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We investigate the geometry of the Kodaira moduli space
M
of sections of
π
:
Z
→
P
1
, the normal bundle of which is allowed to jump from
O
(
1
)
n
to
O
(
1
)
n
-
2
m
⊕
O
(
2
)
m
⊕
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
. |
|---|---|
| ISSN: | 0025-2611 1432-1785 |
| DOI: | 10.1007/s00229-019-01160-7 |