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arXiv · 1703.00438

Stability of associated forms

Maksym Fedorchuk·Alexander Isaev
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Abstract

We show that the associated form, or equivalently a Macaulay inverse system, of an Artinian complete intersection of type $(d,\dots, d)$ is polystable. As an application, we obtain an invariant-theoretic variant of the Mather-Yau theorem for homogeneous hypersurface singularities.

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Maksym Fedorchuk, Alexander Isaev. 2017-03-01. Stability of associated forms. https://arxiv.org/abs/1703.00438

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