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arXiv 1106.2602math.CVmath.AG
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Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms

Alexander Isaev

英文摘要:

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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