Durfee conjecture and coordinate free characterization of homogeneous singularities

DOI10.4310/jdg/1214453681zbMath0793.32016OpenAlexW1500948887WikidataQ115180227 ScholiaQ115180227MaRDI QIDQ688329

Yi-Jing Xu, Stephen Shing-Toung Yau

Publication date: 15 August 1994

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214453681

zbMATH Keywords

multiplicitysignaturesurface singularityMilnor numbergenusDurfee's conjectureweighted homogeneous polynomials

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (13)

Integral points in rational polygons: a numerical semigroup approach ⋮ A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers ⋮ On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices ⋮ Characterization of isolated homogeneous hypersurface singularities in \(\mathbb C^{4}\) ⋮ The `corrected Durfee's inequality' for homogeneous complete intersections ⋮ Sharp polynomial estimate of integral points in right-angled simplices ⋮ On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities ⋮ Analysis of sharp polynomial upper estimate of number of positive integral points in a five-dimensional tetrahedra ⋮ Durfee-type bound for some non-degenerate complete intersection singularities ⋮ A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function ⋮ Interplay Between CR Geometry and Algebraic Geometry ⋮ Normal two-dimensional hypersurface triple points and the Horikawa type resolution ⋮ A sharp upper estimate of the number of integral points in a 5-dimensional tetrahedra

This page was built for publication: Durfee conjecture and coordinate free characterization of homogeneous singularities