On sandwiched singularities and complete ideals.

DOI10.1016/S0022-4049(03)00082-3zbMath1066.14041MaRDI QIDQ1414057

Jesús Fernández-Sánchez

Publication date: 19 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

regularcomplete idealsanalytic surfacesandwiched singularity

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) Rational and birational maps (14E05) Complex surface and hypersurface singularities (32S25)

Related Items

Factorization of complete ideals in normal birational extensions in dimension two ⋮ Equivalence of the Nash conjecture for primitive and sandwiched singularities ⋮ The blow-up of a simple ideal ⋮ Equisingularity classes of birational projections of normal singularities to a plane ⋮ ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES ⋮ Some results relating to adjacent ideals in dimension two ⋮ First neighborhood complete ideals in two-dimensional Muhly local domains are projectively full ⋮ On the exceptional locus of the birational projections of a normal surface singularity into a plane ⋮ Monomial generators of complete planar ideals ⋮ On Adjacent Ideals in Two-Dimensional Rational Singularities

Cites Work

• Infinitely near imposed singularities and singularities of polar curves
• On isomorphisms of blowing-ups of complete ideals of a rational surface singularity
• Curves and proximity on rational surface singularities
• Deformation theory of sandwiched singularities
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• The Unloading Problem for Plane Curves
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