Corpus ID: 119138220

# Geometry of folded hypercomplex structures

@article{Bielawski2019GeometryOF,
title={Geometry of folded hypercomplex structures},
author={Roger Bielawski and Carolin Peternell},
journal={arXiv: Differential Geometry},
year={2019}
}
• Published 2019
• Mathematics
• arXiv: Differential Geometry
• We investigate the geometry of the Kodaira moduli space $M$ of sections of $\pi:Z\to {\mathbb P}^1$, the normal bundle of which is allowed to jump from ${\mathcal O}(1)^{n}$ to ${\mathcal O}(1)^{n-2m}\oplus {\mathcal O}(2)^{m}\oplus {\mathcal O}^{m}$. 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 $M$.
2 Citations

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