Extracting invariants of isolated hypersurface singularities from their moduli algebras

dc.contributor.author	Eastwood, M.
dc.contributor.author	Isaev, A.
dc.date.issued	2013
dc.description.abstract	We use classical invariant theory to construct invariants of complex graded Gorenstein algebras of finite vector space dimension. As a consequence, we obtain a way of extracting certain numerical invariants of quasi-homogeneous isolated hypersurface singularities from their moduli algebras, which extends an earlier result due to the first author. Furthermore, we conjecture that the invariants so constructed solve the biholomorphic equivalence problem in the homogeneous case. The conjecture is easily verified for binary quartics and ternary cubics. We show that it also holds for binary quintics and sextics. In the latter cases the proofs are much more involved. In particular, we provide a complete list of canonical forms of binary sextics, which is a result of independent interest.
dc.description.statementofresponsibility	M. G. Eastwood, A. V. Isaev
dc.identifier.citation	Mathematische Annalen, 2013; 356(1):73-98
dc.identifier.doi	10.1007/s00208-012-0836-7
dc.identifier.issn	0025-5831
dc.identifier.issn	1432-1807
dc.identifier.uri	http://hdl.handle.net/2440/95979
dc.language.iso	en
dc.publisher	Springer
dc.rights	© Springer-Verlag 2012
dc.source.uri	https://doi.org/10.1007/s00208-012-0836-7
dc.title	Extracting invariants of isolated hypersurface singularities from their moduli algebras
dc.type	Journal article
pubs.publication-status	Published

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