Irreducible Jacobian derivations in positive characteristic

Published 20 Jun 2013 in math.AC | (1306.4791v1)

Abstract: We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an n-1-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.

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Piotr Jedrzejewicz

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