Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
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2005
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Abstract
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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Lett. Math. Phys. 76 (2006) 57-63