Ideals associated to deformations of singular plane curves
Ideals associated to deformations of singular plane curves
We consider in this paper the geometry of certain loci in deformation spaces of plane curve singularities. These loci are the equisingular locus <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E upper S"> <mml:semantics> <mml:mrow> <mml:mi>E</mml:mi> <mml:mi>S</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">ES</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which parametrizes equisingular or topologically trivial deformations, the equigeneric …