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Homomorphisms of local algebras in positive characteristic

We investigate some properties of regularity of homomorphisms of local algebras over positive characteristic fields. We state a result of monomialization of such a homomorphism between algebras of analytic or algebraic power series. From this we deduce some extensions in positive characteristic of results due to S. Izumi and A. Gabrielov.

preprint2013arXivOpen access
Guillaume Rond
math.CVmath.AC
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Guillaume Rond

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