On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci

DOI10.1017/S0027763000024995zbMath0812.13017OpenAlexW1642410760MaRDI QIDQ4321814

Kazuhiko Kurano

Publication date: 14 May 1995

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

Full work available at URL: https://doi.org/10.1017/s0027763000024995

zbMATH Keywords

intersection multiplicityRiemann-Roch theoremSerre conjecturelocalized Chern characternon complete intersection locus

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Riemann-Roch theorems (14C40)

Related Items (4)

The grade conjecture and asymptotic intersection multiplicity ⋮ A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings ⋮ Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$ ⋮ On maps of Grothendieck groups induced by completion.

Cites Work

• Frobenius and multiplicities
• An approach to the characteristic free Dutta multiplicity
• Algebraic approximation of structures over complete local rings
• What makes a complex exact?
• The vanishing of intersection multiplicities of perfect complexes

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