Cohen-Macaulayness of Rees algebras of diagonal ideals

DOI10.1216/JCA-2014-6-4-561zbMath1360.13013arXiv1106.0741OpenAlexW2963545639MaRDI QIDQ485963

Kuei-Nuan Lin

Publication date: 14 January 2015

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

Full work available at URL: https://arxiv.org/abs/1106.0741

zbMATH Keywords

regularityRees algebrasymmetric algebraCohen-Macaulaydeterminantal ringAlexander dualsecant variety

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Macaulay2

Cites Work

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• Rees algebras of diagonal ideals
• Combinatorial secant varieties
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• Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups
• Cohen-Macaulay graded rings associated to ideals