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arXiv · 1911.10411

An algorithmic approach to Chevalley's Theorem on images of rational morphisms between affine varieties

Mohamed Barakat·Markus Lange-Hegermann
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Abstract

The goal of this paper is to introduce a new constructive geometric proof of the affine version of Chevalley's Theorem. This proof is algorithmic and a verbatim implementation resulted in an efficient code for computing the constructible image of rational maps between affine varieties. Our approach extends the known descriptions of uniform matrix product states to $\operatorname{uMPS}(2,2,5)$

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Mohamed Barakat, Markus Lange-Hegermann. 2019-11-23. An algorithmic approach to Chevalley's Theorem on images of rational morphisms between affine varieties. https://doi.org/10.1090/mcom%2F3632

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