6533b82bfe1ef96bd128e2b5

RESEARCH PRODUCT

Locally tame plane polynomial automorphisms

Stefan MaubachJean-philippe FurterJoost BersonAdrien Dubouloz

subject

PolynomialRank (linear algebra)Polynomial ringPolynomial automorphismsCommutative Algebra (math.AC)01 natural sciencesCombinatoricsMathematics - Algebraic GeometryFOS: MathematicsAlgebra en Topologie0101 mathematicsAlgebraic Geometry (math.AG)MathematicsAlgebra and TopologyAlgebra and Number TheoryPlane (geometry)local tameness010102 general mathematicsA domainMathematics - Commutative AlgebraAutomorphism[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]010101 applied mathematicsComputingMethodologies_DOCUMENTANDTEXTPROCESSING[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]14R10

description

Abstract For automorphisms of a polynomial ring in two variables over a domain R , we show that local tameness implies global tameness provided that every 2-generated locally free R -module of rank 1 is free. We give examples illustrating this property.

yearjournalcountryeditionlanguage
2010-11-03Journal of Pure and Applied Algebra
10.1016/j.jpaa.2011.05.013https://hdl.handle.net/2066/93928