Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lipschitz Normal Embeddings and Determinantal Singularities   The germ of an algebraic variety is naturally equipped with two different
metrics up to bilipschitz equivalence. The inner metric and the outer metric.
One calls a germ of a variety Lipschitz normally embedded if the two metrics
are bilipschitz equivalent. In this article we prove that the model
determinantal singularity, that is the space of $m\times n$ matrices of rank
less than a given number, is Lipschitz normally embedded. We will also discuss
some of the difficulties extending this result to the case of general
determinantal singularities.

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: econ