Mather, John N.; Yau, Stephen S.-T. Classification of isolated hypersurface singularities by their moduli algebras. (English) Zbl 0499.32008 Invent. Math. 69, 243-251 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 ReviewsCited in 88 Documents MSC: 32S05 Local complex singularities 32B10 Germs of analytic sets, local parametrization 14D20 Algebraic moduli problems, moduli of vector bundles 32H99 Holomorphic mappings and correspondences 32G13 Complex-analytic moduli problems 32J25 Transcendental methods of algebraic geometry (complex-analytic aspects) Keywords:isolated singularities; biholomorphic equivalence of germs of complex analytic hypersurfaces; moduli algebras PDFBibTeX XMLCite \textit{J. N. Mather} and \textit{S. S. T. Yau}, Invent. Math. 69, 243--251 (1982; Zbl 0499.32008) Full Text: DOI EuDML References: [1] Mather, J.N., Yau, S.S.-T.: A criterion for biholomorphic equivalence of isolated hypersurface singularities. Proc. of the National Academy of Sciences78, 5946-5947 (1981) · Zbl 0477.32005 · doi:10.1073/pnas.78.10.5946 [2] Mather, J.N.: Stability ofC ? mappings: III. Finitely determined map-germs. Publ. Math. I.H.E.S.35, 127-156 (1968) · Zbl 0159.25001 [3] Mather, J.N.: Stability ofC ? mappings: IV. Classification of Stable Germs by ?-Algebras. Publ. Math. I.H.E.S.37, 223-248 (1970) · Zbl 0202.55102 [4] Shoshitaishvili, A.N.: Functions with isomorphic Jacobian ideals (translated from Russian) Functional Analysis and Its Applications10, 128-133 (1976) · Zbl 0354.32022 · doi:10.1007/BF01077939 [5] Greuel, G.-M.: Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität. Manuscripta math.21, 227-241 (1977) · Zbl 0359.32008 · doi:10.1007/BF01167877 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.