Polynomial maps that are roots of power series

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Authors
Maubach, Stefan
Peters, Han
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Abstract
Description
We introduce a class of polynomial maps that we call polynomial roots of powerseries, and show that automorphisms with this property generate the automorphism group in any dimension. In particular we determine generically which polynomial maps that preserve the origin are roots of powerseries. We study the one-dimensional case in greater depth.
Comment: 15 pages
Keywords
Mathematics - Complex Variables, Mathematics - Algebraic Geometry, 14R99, 32H50
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