
arXiv: 1309.0357
We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.
v4: added the missing assumption on dimension in Theorem 3.11
Mathematics - Differential Geometry, Twistor methods in differential geometry, hypercomplex structures, Projective curves, 53C26, 53C28, 32G10, 14H15, Twistor methods, projective curves, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Families, moduli of curves (analytic), hyper-Kähler metrics, Differential Geometry (math.DG), Deformations of submanifolds and subspaces, Hypercomplex structures, FOS: Mathematics, Dewey Decimal Classification::500 | Naturwissenschaften::530 | Physik, twistor methods, Hyperkähler metrics
Mathematics - Differential Geometry, Twistor methods in differential geometry, hypercomplex structures, Projective curves, 53C26, 53C28, 32G10, 14H15, Twistor methods, projective curves, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Families, moduli of curves (analytic), hyper-Kähler metrics, Differential Geometry (math.DG), Deformations of submanifolds and subspaces, Hypercomplex structures, FOS: Mathematics, Dewey Decimal Classification::500 | Naturwissenschaften::530 | Physik, twistor methods, Hyperkähler metrics
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