2021/07/16 by Paul Barajas, Barajas, Paul, Daniel Duarte +1
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.48550/arxiv.2107.08134
We prove that, for the jet scheme of a singular hypersurface, the blowup of 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.