Normal bundles to Laufer rational curves in local Calabi-Yau threefolds

Details Normal bundles to Laufer rational curves in local Calabi-Yau threefolds Normal bundles to Laufer rational curves in local Calabi-Yau threefolds

2005-11-16

arxiv.org/abs/math-ph/0511053v1

Lett.Math.Phys. 76 (2006) 57-63

Physics

Mathematical Physics

Scientific paper

10.1007/s11005-006-0057-7

We prove a conjecture by F. Ferrari. Let X be the total space of a nonlinear
deformation of a rank 2 holomorphic vector bundle on a smooth rational curve,
such that X has trivial canonical bundle and has sections. Then the normal
bundle to such sections is computed in terms of the rank of the Hessian of a
suitably defined superpotential at its critical points.

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