Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms
Complex Variables
2011-10-17 v3 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1106.2602,
title = {Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms},
author = {Alexander Isaev},
journal= {arXiv preprint arXiv:1106.2602},
year = {2011}
}