Socle degrees, resolutions, and Frobenius powers
From MaRDI portal
Publication:837035
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
canonical modulemaximal Cohen-Macaulay modulehypersurface ringFrobenius poweralternating mapgrade three Gorenstein idealsecond syzygy modulesocle degrees
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
This page was built for publication: Socle degrees, resolutions, and Frobenius powers