Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
Mathematical Physics
2009-11-11 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0511053,
title = {Normal bundles to Laufer rational curves in local Calabi-Yau threefolds},
author = {U. Bruzzo and A. Ricco},
journal= {arXiv preprint arXiv:math-ph/0511053},
year = {2009}
}