Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms

Details Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms

2011-06-14

arxiv.org/abs/1106.2602v3

Mathematics

Complex Variables

Scientific paper

We use classical invariant theory to solve the biholomorphic equivalence
problem for two families of plane curve singularities previously considered in
the literature. Our calculations motivate an intriguing conjecture that
proposes a way of extracting a complete set of invariants of homogeneous plane
curve singularities from their moduli algebras.

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