The Gorensteinness of the Symbolic Blow-Ups for Certain Space Monomial Curves

DOI10.2307/2154559zbMath0792.13009OpenAlexW4256221240MaRDI QIDQ4276542

Yasuhiro Shimoda, Shiro Goto, Kohji Nishida

Publication date: 24 July 1994

Full work available at URL: https://doi.org/10.2307/2154559

zbMATH Keywords

Gorenstein propertysymbolic Rees ringnon-Cohen-Macaulay ringnon- Noetherian blow-up rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Special algebraic curves and curves of low genus (14H45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (5)

Saturations of powers of certain determinantal ideals ⋮ Generation in Degree Four of Symbolic Blowups of Self-Linked Monomial Space Curves ⋮ On the Non-Cohen–Macaulayness of Certain Factorial Closures ⋮ The $a$-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings ⋮ On the stable Harbourne conjecture for ideals defining space monomial curves

Cites Work

• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Hilbert functions and symbolic powers
• On the finite generation of symbolic blow-ups
• The Gorensteinness of symbolic Rees algebras for space curves
• Generators and relations of abelian semigroups and semigroup rings
• Self-linked curve singularities
• Non-Cohen-Macaulay Symbolic Blow-ups for Space Monomial Curves

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