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arxiv: 1207.1612 · v2 · pith:CAXRLAUKnew · submitted 2012-07-06 · 🧮 math.AG

On Newton non-degeneracy of polynomial mappings

classification 🧮 math.AG
keywords mappingsmixednewtonnon-degeneracypolynomialallowsapproximatebifurcation
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We introduce a new non-degeneracy condition at infinity for a real or a mixed polynomial mapping $F$ which allows us to approximate its bifurcation locus in terms of certain Newton polyhedra. We derive a sufficiency result for the Jacobian problem in the setting of mixed mappings.

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