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Algebraic dependence and Milnor K-theory

Published 26 Nov 2022 in math.KT and math.AG | (2211.14665v1)

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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