Chern coefficients and Cohen-Macaulay rings
From MaRDI portal
Publication:2401716
DOI10.1016/j.jalgebra.2017.07.012zbMath1390.13073arXiv1504.06037OpenAlexW2740827935MaRDI QIDQ2401716
Publication date: 4 September 2017
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06037
parameter idealCohen-MacaulayHilbert coefficientindex of reducibilityirreducible submoduleChern coefficient
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
Related Items
The eventual index of reducibility of parameter ideals and the sequentially Cohen-Macaulay property ⋮ On Hilbert coefficients and sequentially generalized Cohen–Macaulay modules ⋮ On Hilbert coefficients and sequentially Cohen-Macaulay rings ⋮ Irreducible multiplicity and Ulrich modules
Cites Work
- Unnamed Item
- Index of reducibility of parameter ideals and Cohen-Macaulay rings
- The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases
- Index of reducibility of parameter ideals in a local ring
- The Chern coefficients of local rings
- Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules
- \(\Delta\)-genera and sectional genera of commutative rings
- On the symmetric and Rees algebra of an ideal generated by a d-sequence
- The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two
- Hilbert coefficients and Buchsbaumness of associated graded rings.
- Links of prime ideals and their Rees algebras
- Hilbert coefficients and sequentially Cohen-Macaulay modules
- On the index of reducibility in Noetherian modules
- Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
- Verallgemeinerte COHEN-MACAULAY-Moduln
- Links of prime ideals
- A Note on the Coefficients of the Abstract Hilbert Function
- Multiplicity and tight closures of parameters