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

TitleNormal bundles to Laufer rational curves in local Calabi-Yau threefolds
Publication TypePreprint
2006
AuthorsBruzzo, U, Ricco, A
Series TitleLett. Math. Phys. 76 (2006) 57-63
Document NumberSISSA;88/2005/FM

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.

http://hdl.handle.net/1963/1785
10.1007/s11005-006-0057-7

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