局部Calabi-Yau三重中Laufer有理曲线的法丛
Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
摘要:
证明了F.法拉利设X是光滑有理曲线上秩为2的全纯向量丛的非线性变形的全空间,使得X有平凡标准丛且有截面。然后计算法向丛,以适当定义的超势在其临界点的Hessian秩。
英文摘要:
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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