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arXiv · 1602.01986

Linear equations on real algebraic surfaces

Wojciech Kucharz·Krzysztof Kurdyka
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Abstract

We prove that if a linear equation, whose coefficients are continuous rational functions on a nonsingular real algebraic surface, has a continuous solution, then it also has a continuous rational solution. This is known to fail in higher dimensions.

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Wojciech Kucharz, Krzysztof Kurdyka. 2016-02-05. Linear equations on real algebraic surfaces. https://arxiv.org/abs/1602.01986

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