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Model theory and the DME: a survey

Published 7 Nov 2019 in math.LO, math.AG, and math.RA | (1911.02959v1)

Abstract: Recent work using the model theory of differentially closed fields to answer questions having to do with the Dixmier-Moeglin equivalence for (noncommutatve) finitely generated noetherian algebras, and for (commutative) finitely generated Poisson algebras, is here surveyed, with an emphasis on the model-theoretic and differential-algebraic-geometric antecedents.

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