Characterization of isolated homogeneous hypersurface singularities in \(\mathbb C^{4}\)

DOI10.1007/s11425-006-2062-9zbMath1115.32017OpenAlexW2110950371MaRDI QIDQ867810

Zhen-Han Tu, Stephen Shing-Toung Yau, Ke-Pao Lin

Publication date: 16 February 2007

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

Full work available at URL: https://doi.org/10.1007/s11425-006-2062-9

zbMATH Keywords

multiplicitygeometric genusMilnor numberhypersurface singularityweighted homogeneous singularityhomogeneous singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25)

Cites Work

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• Durfee conjecture and coordinate free characterization of homogeneous singularities
• Toric varieties, lattice points and Dedekind sums
• Classification of affine varieties being cones over nonsingular projective varieties: hypersurface case
• Isolated singularities defined by weighted homogeneous polynomials
• Quasihomogeneous isolated singularities of hyperplanes.
• Topological Invariance of Weights for Weighted Homogeneous Isolated Singularities in C 3
• A sharp estimate of the number of integral points in a 4-dimensional tetrahedra.

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