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Gröbner Techniques for Low-Degree Hilbert Stability

Gröbner Techniques for Low-Degree Hilbert Stability

Abstract We give a method for verifying, by a symbolic calculation, the stability or semistability with respect to a linearization of fixed, possibly small, degree m, of the Hilbert point of a scheme having a suitably large automorphism group. We also implement our method and apply it to analyze the …