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arXiv · 1803.08406

Key polynomials over valued fields

Enric Nart
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Abstract

Let K be a field. For a given valuation on K[x], we determine the structure of its graded algebra and describe its set of key polynomials, in terms of any given key polynomial of minimal degree. We also characterize valuations not admitting key polynomials.

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Enric Nart. 2018-03-22. Key polynomials over valued fields. https://arxiv.org/abs/1803.08406

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