Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
Bruzzo, U. ; Ricco, A.
arXiv, 0511053 / Harvested from arXiv
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.
Publié le : 2005-11-16
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Algebraic Geometry
@article{0511053,
     author = {Bruzzo, U. and Ricco, A.},
     title = {Normal bundles to Laufer rational curves in local Calabi-Yau threefolds},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511053}
}
Bruzzo, U.; Ricco, A. Normal bundles to Laufer rational curves in local Calabi-Yau threefolds. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511053/