Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms
Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 257-268
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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 method for extracting a complete set of invariants of homogeneous plane curve singularities from their moduli algebras.
@article{TRSPY_2012_279_a16,
author = {A. V. Isaev},
title = {Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms},
journal = {Informatics and Automation},
pages = {257--268},
publisher = {mathdoc},
volume = {279},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a16/}
}
TY - JOUR AU - A. V. Isaev TI - Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms JO - Informatics and Automation PY - 2012 SP - 257 EP - 268 VL - 279 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a16/ LA - en ID - TRSPY_2012_279_a16 ER -
%0 Journal Article %A A. V. Isaev %T Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms %J Informatics and Automation %D 2012 %P 257-268 %V 279 %I mathdoc %U http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a16/ %G en %F TRSPY_2012_279_a16
A. V. Isaev. Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms. Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 257-268. http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a16/