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arXiv · 2302.14697

A short proof for the parameter continuation theorem

Viktoriia Borovik·Paul Breiding
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Abstract

The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this note, we give a short proof using Gr\"obner bases. Our approach gives a method for computing discriminants.

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Viktoriia Borovik, Paul Breiding. 2023-02-28. A short proof for the parameter continuation theorem. https://arxiv.org/abs/2302.14697

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