Equations of blowups of ideals of codimension two and three

DOI10.1016/0022-4049(95)00087-9zbMath0864.14001OpenAlexW2048922093MaRDI QIDQ1916409

Susan Morey

Publication date: 30 June 1997

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00087-9

zbMATH Keywords

Rees algebrasCohen-Macaulay domaingenerators of the defining idealdefining equations of blow-up algebrasjacobian dual of a matrix

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Low codimension problems in algebraic geometry (14M07) Relevant commutative algebra (14A05)

Related Items (18)

Stability of associated primes and equality of ordinary and symbolic powers of ideals ⋮ Rees algebras and almost linearly presented ideals ⋮ Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals ⋮ A matrix of linear forms which is annihilated by a vector of indeterminates ⋮ Second analytic deviation one ideals and their Rees algebras ⋮ On Rees algebras of linearly presented ideals in three variables ⋮ The equations defining blowup algebras of height three Gorenstein ideals ⋮ On Rees algebras of ideals and modules over hypersurface rings ⋮ Rees algebras of truncations of complete intersections ⋮ The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings ⋮ On the smoothness of blow ups ⋮ Equations defining certain graphs ⋮ The relation type of affine algebras and algebraic varieties ⋮ Rees algebras of ideals with low codimension ⋮ Syzygies and the Rees algebra ⋮ Rees algebras of square-free monomial ideals ⋮ Normal blow-ups and their expected defining equations ⋮ Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules

Uses Software

• Macaulay2

Cites Work

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• Rees rings and associated graded rings of ideals having higher analytic deviation
• Castelnuovo Regularity and Graded Rings Associated to an Ideal
• Linkage and the Koszul Homology of Ideals
• On the Jacobian Ideal of the Module of Differentials

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