Boundary and shape of Cohen-Macaulay cone

DOI10.1007/S00208-015-1231-YzbMath1346.13020arXiv1412.2182OpenAlexW2101854080MaRDI QIDQ261396

Kazuhiko Kurano, Hailong Dao

Publication date: 23 March 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2182

zbMATH Keywords

Grothendieck groupChow groupCohen-Macaulay conede Jong's alterationsnumerical equivalence

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Cohen-Macaulay modules (13C14) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (4)

Grothendieck groups, convex cones and maximal Cohen-Macaulay points ⋮ Representation schemes and rigid maximal Cohen-Macaulay modules ⋮ The cone spanned by maximal Cohen-Macaulay modules and an application ⋮ On the limit of Frobenius in the Grothendieck group

Cites Work

• The singular Riemann-Roch theorem and Hilbert-Kunz functions
• Modules of finite projective dimension with negative intersection multiplicities
• Smoothness, semi-stability and alterations
• Modules of finite length and finite projective dimension
• Cohen-Macaulay modules on hypersurface singularities. I
• Numerical equivalence defined on Chow groups of Noetherian local rings
• Non-commutative resolutions and Grothendieck groups
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The cone spanned by maximal Cohen-Macaulay modules and an application
• Hochster's theta pairing and numerical equivalence
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