Extremal Rees algebras

DOI10.1216/JCA-2013-5-2-231zbMath1274.13015arXiv1208.2466OpenAlexW2963949428MaRDI QIDQ357877

Jooyoun Hong, Aaron Simis, Vasconcelos, Wolmer V.

Publication date: 14 August 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2466

zbMATH Keywords

Hilbert functionRees algebraCastelnuovo regularityalmost Cohen-Macaulay algebraalmost complete intersectionbirational mappingextremal Rees algebramodule of nonlinear relationsrelation typeSally module

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 (6)

On a conjecture of Vasconcelos via Sylvester forms ⋮ Ideals generated by quadrics ⋮ The depth of the Rees algebra of three general binary forms ⋮ The ubiquity of Sylvester forms in almost complete intersections ⋮ ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS ⋮ SALLY MODULES AND REDUCTION NUMBERS OF IDEALS

Uses Software

• Macaulay2

Cites Work

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• On the integral closure of ideals
• Relative volumes and minors in monomial subrings.
• On the divisor class group of Rees-algebras
• Cremona transformations and some related algebras
• On the homology of two-dimensional elimination
• Syzygies and the Rees algebra
• Canonical modules of Rees algebras
• Depth of symmetric algebras of certain ideals
• Rational normal scrolls and the defining equations of Rees algebras
• A note on the symmetric algebras which are gorenstein rings
• Reduction numbers for ideals of higher analytic spread
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• Links of prime ideals
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• The equations of Rees algebras of equimultiple ideals of deviation one

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