Test modules to calculate Dutta multiplicities

DOI10.1006/jabr.2000.8507zbMath0979.13015OpenAlexW2066463515MaRDI QIDQ5929448

Kazuhiko Kurano

Publication date: 1 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8507

zbMATH Keywords

Cohen-Macaulay moduleFrobenius mappositive Dutta multiplicitytest module

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (5)

Numerical equivalence defined on Chow groups of Noetherian local rings ⋮ The cone spanned by maximal Cohen-Macaulay modules and an application ⋮ Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$ ⋮ Adams Operations in Commutative Algebra ⋮ On the limit of Frobenius in the Grothendieck group

Cites Work

• Grothendieck groups of algebras and orders
• Modules of finite projective dimension with negative intersection multiplicities
• Intersection theory using Adams operations
• An approach to the characteristic free Dutta multiplicity
• Intersection multiplicities over Gorenstein rings
• The classification of homogeneous Cohen-Macaulay rings of finite representation type
• A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings
• What makes a complex exact?
• The vanishing of intersection multiplicities of perfect complexes
• Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$
• A Generalized Koszul Complex. II. Depth and Multiplicity
• On Roberts rings.
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