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Deep Learning Gauss-Manin Connections
[article]
2020
arXiv
pre-print
The Gauss-Manin connection of a family of hypersurfaces governs the change of the period matrix along the family. This connection can be complicated even when the equations defining the family look simple. When this is the case, it is computationally expensive to compute the period matrices of varieties in the family via homotopy continuation. We train neural networks that can quickly and reliably guess the complexity of the Gauss-Manin connection of a pencil of hypersurfaces. As an
arXiv:2007.13786v1
fatcat:cv2c35dalnazvldhao4mgslacy