On the multiplicity of blow-ups associated to almost complete intersection space curves

DOI10.1080/00927879408824871zbMath0804.14012OpenAlexW1990679053MaRDI QIDQ4282867

Daniel Katz, Jugal Kishore Verma

Publication date: 16 January 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824871

zbMATH Keywords

almost complete intersection curveblowing up of curve singularitiesmultiplicities of blow-ups

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Complete intersections (14M10) Singularities of curves, local rings (14H20)

Related Items

Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ Note on multiplicities of blow-ups and residual intersections ⋮ Sequences Determining Mixed Multiplicities and Reductions of Ideals ⋮ On some properties of (fc)-sequences of ideals in local rings

Cites Work

• Extended Rees algebras and mixed multiplicities
• Birational extensions in dimension two and integrally closed ideals
• On the symmetric algebra of a module
• On the multiplicity of blow-up rings of ideals generated by \(d\)-sequences
• Generators and relations of abelian semigroups and semigroup rings
• Generalizations of Reductions and Mixed Multiplicities
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions