The cone spanned by maximal Cohen-Macaulay modules and an application

DOI10.1090/tran/6457zbMath1342.13016arXiv1211.4016OpenAlexW1538085883MaRDI QIDQ2796511

Kazuhiko Kurano, C.-Y. Jean Chan

Publication date: 29 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4016

zbMATH Keywords

test moduleSegre productCohen-Macaulay coneHilbert-Kunz functionnumerical rational equivalence

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (4)

Grothendieck groups, convex cones and maximal Cohen-Macaulay points ⋮ The shape of Hilbert-Kunz functions ⋮ On the limit of Frobenius in the Grothendieck group ⋮ Boundary and shape of Cohen-Macaulay cone

Cites Work

• Unnamed Item
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• Boundary and shape of Cohen-Macaulay cone
• The singular Riemann-Roch theorem and Hilbert-Kunz functions
• On graded rings. I
• Modules of finite length and finite projective dimension
• The Hilbert-Kunz function
• Hilbert--Kunz functions and multiplicities for full flag varieties and elliptic curves.
• Numerical equivalence defined on Chow groups of Noetherian local rings
• Hilbert-Kunz functions for normal rings
• A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings
• A Riemann-Roch formula for the blow-up of a nonsingular affine scheme
• Hilbert–Kunz Functions over Rings Regular in Codimension One
• Decent intersection and Tor-rigidity for modules over local hypersurfaces
• Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$
• The Hilbert–Kunz Function in Graded Dimension Two
• Hochster's theta pairing and numerical equivalence
• Algebraic \(K\)-theory.
• Test modules to calculate Dutta multiplicities
• On Roberts rings.

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