Normal two-dimensional hypersurface triple points and the Horikawa type resolution

DOI10.2748/tmj/1178227335zbMath0801.14011OpenAlexW2014901999MaRDI QIDQ1312821

Tadashi Ashikaga

Publication date: 9 February 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227335

zbMATH Keywords

Milnor numberDurfee's conjecturesimple elliptic singularitytriple coveringinner double pointsresolution of surface singularitiestarget pointtriple section surfacetwo- dimensional hypersurface singularities of multiplicity 3

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Coverings in algebraic geometry (14E20)

Related Items (5)

On the invariants of base changes of pencils of curves. I ⋮ The `corrected Durfee's inequality' for homogeneous complete intersections ⋮ The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds ⋮ On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities ⋮ Durfee-type bound for some non-degenerate complete intersection singularities

Cites Work

• Durfee conjecture and coordinate free characterization of homogeneous singularities
• A geometric characterization of normal two-dimensional singularities of multiplicity two with \(p_ a\leq 1\)
• Casson invariant of links of singularities
• Casson's invariant of Seifert homology 3-spheres
• Smoothings of normal surface singularities
• Examples of degenerations of Castelnuovo surfaces
• Einfach-elliptische Singularitäten
• On deformations of quintic surfaces
• The signature of smoothings of complex surface singularities
• Supplement to On the inverse of monoidal transformation
• Triple Covers in Algebraic Geometry
• The Inequality 8pg < μ for Hypersurface Two-dimensional Isolated Double Points
• Singular Points of Complex Hypersurfaces. (AM-61)
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