A nobile-like theorem for jet schemes of hypersurfaces
OSAKA JOURNAL OF MATHEMATICS(2023)
摘要
We prove that the blowup of the jet scheme of a singular hypersurface along a certain jet related module is not an isomorphism. In conjunction with recent developments in the theory of Nash blowups, our result holds over fields of arbitrary characteristic. Our approach is based on explicit presentations given by a higher-order Jacobian matrix combined with a certain jet related matrix.
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