The equations of almost complete intersections

DOI10.1007/s00574-012-0009-zzbMath1260.13021arXiv0906.1591OpenAlexW2047741641MaRDI QIDQ692745

Jooyoun Hong, Vasconcelos, Wolmer V., Aaron Simis

Publication date: 6 December 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1591

zbMATH Keywords

Hilbert functionassociated graded ringRees algebraCastelnuovo-Mumford regularitybirational mappingrelation typebalanced idealsecondary elimination degree

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Rational and birational maps (14E05) Morphisms of commutative rings (13B10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (20)

On a conjecture of Vasconcelos via Sylvester forms ⋮ Rational plane curves parameterizable by conics ⋮ The Aluffi algebra of the Jacobian of points in projective space: torsion-freeness ⋮ The bi-graded structure of symmetric algebras with applications to Rees rings ⋮ A \(D\)-modules approach on the equations of the Rees algebra ⋮ Extremal Rees algebras ⋮ Elimination and nonlinear equations of Rees algebras ⋮ Rees algebras of truncations of complete intersections ⋮ Implicitization of de Jonquières parametrizations ⋮ Equigenerated Gorenstein ideals of codimension three ⋮ Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations ⋮ BLOWUPS AND FIBERS OF MORPHISMS ⋮ Ideals generated by quadrics ⋮ The depth of the Rees algebra of three general binary forms ⋮ The equations of Rees algebras of equimultiple ideals of deviation one ⋮ A blowup algebra for hyperplane arrangements ⋮ The ubiquity of Sylvester forms in almost complete intersections ⋮ On the relation type of fiber cone ⋮ ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS ⋮ The Rees algebra of a monomial plane parametrization

Uses Software

• Macaulay2

Cites Work

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