【摘 要】
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Using families of Manin Kernels in differentially closed fields we answer a question of Brown and Gordon,showing that the Dixmier-Moeglin equivalence fails
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Using families of Manin Kernels in differentially closed fields we answer a question of Brown and Gordon,showing that the Dixmier-Moeglin equivalence fails for affine complex Poisson algebras.On the positive side,using a version of Hrushovski's finiteness theorem on codegree one differential subvarieties,we prove that a natural weakening of the equivalence does hold.I will report on this joint work with Jason Bell,Stephane Launois,and Omar Leon Sanchez.
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