On variance of exponents for isolated surface singularities with modality \(\leqslant 2\)

DOI10.1007/s11425-013-4657-2zbMath1302.32029OpenAlexW2252768667MaRDI QIDQ476627

Huaiqing Zuo, Stephen Shing-Toung Yau

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4657-2

zbMATH Keywords

mixed Hodge structureisolated surface singularitiesexponents of a singularity

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Cites Work

• Variance of the spectral numbers and Newton polygons
• Adjoining the spectra of certain singularities
• Exponents and Newton polyhedra of isolated hypersurface singularities
• The complex exponent of a singularity does not change along strata mu=const
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Stability of \(C^ \infty\) mappings. I: The division theorem
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Stability of \(C^\infty\) mappings. II: Infinitesimal stability implies stability
• Quasihomogeneous isolated singularities of hyperplanes.
• ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
• REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS
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