Smooth Points of the Space of Plane Foliations with a Center
Copyright policy )Smooth Points of the Space of Plane Foliations with a Center
Abstract We prove that a logarithmic foliation corresponding to a generic line arrangement of $d+1 \geq 3$ lines in the complex plane, with pairwise natural and co-prime residues, is a smooth point of the center set of plane foliations (vector fields) of degree $d$.
Mathematics - Complex Variables, [MATH] Mathematics [math], 510, Mathematics - Algebraic Geometry, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, [MATH]Mathematics [math], Complex Variables (math.CV), Algebraic Geometry (math.AG)
Mathematics - Complex Variables, [MATH] Mathematics [math], 510, Mathematics - Algebraic Geometry, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, [MATH]Mathematics [math], Complex Variables (math.CV), Algebraic Geometry (math.AG)
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