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arXiv · 2211.14665

Algebraic dependence and Milnor K-theory

Adam Topaz
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Abstract

This paper shows that algebraic (in)dependence is encoded in Milnor K-theory of fields. As an application, we show that the isomorphism type of a field is determined by its Milnor K-theory, up to purely inseparable extensions, in most situations.

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Adam Topaz. 2022-11-26. Algebraic dependence and Milnor K-theory. https://arxiv.org/abs/2211.14665

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