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arXiv · 2307.05427

Effective Whitney Stratification of Real Algebraic Varieties

Martin Helmer·Anton Leykin·Vidit Nanda
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Abstract

We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification of a given real variety. We then show that the resulting stratification can be described by real polynomials. We also extend these methods to stratification problems involving the so-called full semialgebraic sets as well as real algebraic maps.

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Martin Helmer, Anton Leykin, Vidit Nanda. 2023-07-11. Effective Whitney Stratification of Real Algebraic Varieties. https://arxiv.org/abs/2307.05427

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