The higher-dimensional multiplicity formula associated to the length formula of hoskin and deligne

DOI10.1080/00927879408824955zbMath0837.13006OpenAlexW2088136191MaRDI QIDQ4290593

Bernhard Johnston

Publication date: 6 June 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824955

zbMATH Keywords

multiplicityregular local ringsinfinitely near pointsquadratic transforms

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Regular local rings (13H05)

Related Items (4)

Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ Improving ideals by means of quadratic transformations ⋮ MULTIPLICITIES AND TRANSFORMS OF IDEALS OF RINGS OF DIMENSION THREE ⋮ A mixed multiplicity formula for complete ideals in 2-dimensional rational singularities

Cites Work

• Zero-Dimensional Valuation Ideals Associated with Plane Curve Branches
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• On the length formula of Hoskin and Deligne and associated graded rings of two-dimensional regular local rings
• Linkage and the symmetric algebra of ideals
• A Note on Analytically Unramified Local Rings

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