Criterion for biholomorphic equivalence of isolated hypersurface singularities

DOI10.1073/pnas.78.10.5946zbMath0477.32005OpenAlexW2045709996WikidataQ36372862 ScholiaQ36372862MaRDI QIDQ3934772

John N. Mather, Stephen Shing-Toung Yau

Publication date: 1981

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.78.10.5946

zbMATH Keywords

moduli algebraring of germs of holomorphic functionsbiholomorphic equivalence of germs of hypersurfaces

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex-analytic moduli problems (32G13) Germs of analytic sets, local parametrization (32B10) Moduli, classification: analytic theory; relations with modular forms (14J15) Local complex singularities (32S05) Algebras of holomorphic functions of several complex variables (32A38) Complex singularities (32Sxx)

Related Items (8)

Mather-Yau theorem in positive characteristic ⋮ Classification of isolated hypersurface singularities by their moduli algebras ⋮ Milnor algebras and equivalence relations among holomorphic functions ⋮ Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems ⋮ On solvability of the automorphism group of a finite-dimensional algebra ⋮ On Quintic Surfaces of General Type ⋮ Characterizing singularities of varieties and of mappings ⋮ Classification of topological types of isolated quasihomogeneous two- dimensional hypersurface singularities

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