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arXiv · 2003.01049

On minimality of determinantal varieties

Khazhgali Kozhasov
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Abstract

We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrices of a given size.

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Khazhgali Kozhasov. 2020-03-02. On minimality of determinantal varieties. https://arxiv.org/abs/2003.01049

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