An intersection multiplicity in terms of $\textrm {Ext}$-modules

DOI10.1090/S0002-9939-01-06022-1zbMath1057.13011MaRDI QIDQ2758966

C.-Y. Jean Chan

Publication date: 10 December 2001

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

zbMATH Keywords

Euler characteristicintersection multiplicityChern characterEuler form

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (3)

Riemann-Roch like theorem for triangulated categories ⋮ Serre's vanishing conjecture for Ext-groups. ⋮ Intersection multiplicity over noncommutative algebras

Cites Work

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• Modules of finite projective dimension with negative intersection multiplicities
• Intersection multiplicity over noncommutative algebras
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• On the ubiquity of Gorenstein rings
• Generalized Intersection Multiplicities of Modules
• Generalized Intersection Multiplicities of Modules. II
• The vanishing of intersection multiplicities of perfect complexes
• The Macrae Invariant and the First Local Chern Character
• Bézout's theorem for non-commutative projective spaces

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