Socle degrees, resolutions, and Frobenius powers

DOI10.1016/j.jalgebra.2009.04.014zbMath1183.13037arXiv0812.4966OpenAlexW1974506264MaRDI QIDQ837035

Bernd Ulrich, Andrew R. Kustin

Publication date: 10 September 2009

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

Full work available at URL: https://arxiv.org/abs/0812.4966

zbMATH Keywords

canonical modulemaximal Cohen-Macaulay modulehypersurface ringFrobenius poweralternating mapgrade three Gorenstein idealsecond syzygy modulesocle degrees

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (4)

Use DG-methods to build a matrix factorization ⋮ The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring ⋮ The resolution of \((x^N,y^N,z^N,w^N)\) ⋮ The syzygies of the ideal \((x_1^N, x_2^N, x_3^N, x_4^N)\) in the hypersurface ring defined by \(x_1^n + x_2^n + x_3^n + x_4^n\)

Cites Work

• The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
• Socle degrees of Frobenius powers
• A linear bound for Frobenius powers and an inclusion bound for tight closure
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Gorenstein algebras, symmetric matrices, self-linked ideals, and symbolic powers

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