Torsion-free Aluffi algebras

DOI10.1016/j.jalgebra.2018.07.024zbMath1401.13012arXiv1706.00065OpenAlexW2963883330MaRDI QIDQ1786462

Zahra Shahidi, Abbas Nasrollah Nejad, Rashid Zaare-Nahandi

Publication date: 24 September 2018

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

Full work available at URL: https://arxiv.org/abs/1706.00065

zbMATH Keywords

associated graded ringAluffi algebrablowup algebraAluffi torsion-free ideal

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Torsion modules and ideals in commutative rings (13C12)

Related Items (2)

The Valabrega-Valla module of the Jacobian ideal of points in a projective plane ⋮ The Valabrega–Valla module of monomial ideals

Cites Work

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• The Aluffi algebra of the Jacobian of points in projective space: torsion-freeness
• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• Shadows of blow-up algebras
• Binomial ideals
• Aluffi torsion-free ideals
• Generators and relations of abelian semigroups and semigroup rings
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Intersection Theory of Linear Embeddings
• Form rings and regular sequences
• The Aluffi algebra

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