Families of Rational Surfaces Preserving a Cusp Singularity

DOI10.2307/2001581zbMath0736.14013OpenAlexW4243478532MaRDI QIDQ4711991

Lee J. McEwan

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001581

zbMATH Keywords

anticanonical cyclesmoothing componentInoué-Hirzebruch surfacesmoothing of the cusp singularity

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Complex-analytic moduli problems (32G13) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Moduli, classification: analytic theory; relations with modular forms (14J15) Algebraic cycles (14C25) Formal methods and deformations in algebraic geometry (14D15) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Smooth deformations of singular contractions of class VII surfaces ⋮ Topology of Milnor Fibers of Minimally Elliptic Singularities

Cites Work

• Smoothings of normal surface singularities
• Smoothing cusp singularities of small length
• Rational surfaces with an anti-canonical cycle
• Taut two-dimensional singularities
• Hilbert modular surfaces
• On degenerations of algebraic surfaces
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