The Chern coefficients of local rings

DOI10.1307/mmj/1220879434zbMath1234.13005arXiv0802.0205OpenAlexW2077159667MaRDI QIDQ841565

Vasconcelos, Wolmer V.

Publication date: 17 September 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0205

Mathematics Subject Classification ID

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 (22)

On Hilbert coefficients of parameter ideals and Cohen-Macaulayness ⋮ Generalized Hilbert coefficients and Northcott's inequality ⋮ On the Chern number of a filtration ⋮ On the nonnegativity of normal Hilbert coefficients of two ideals ⋮ Chern coefficients and Cohen-Macaulay rings ⋮ On Hilbert coefficients and sequentially generalized Cohen–Macaulay modules ⋮ On the sectional genera and Cohen-Macaulay rings ⋮ Hilbert polynomials of j-transforms ⋮ On some conjectures about the Chern numbers of filtrations ⋮ The homology of parameter ideals ⋮ Hilbert coefficients and sequentially Cohen-Macaulay modules ⋮ On the Chern number of \(I\)-admissible filtrations of ideals ⋮ Variation of the first Hilbert coefficients of parameters with a common integral closure ⋮ The first Euler characteristics versus the homological degrees ⋮ On the Chern number of an ideal ⋮ Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals ⋮ Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters ⋮ The positivity of the first coefficients of normal Hilbert polynomials ⋮ On Hilbert coefficients and sequentially Cohen-Macaulay rings ⋮ Variation of Hilbert coefficients ⋮ Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals ⋮ The Chern numbers and Euler characteristics of modules

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