Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$

DOI10.1090/S0002-9947-00-02589-7zbMath0959.13004OpenAlexW1843494795MaRDI QIDQ4955723

Kazuhiko Kurano, Paul C. Roberts

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02589-7

zbMATH Keywords

Euler characteristicFrobenius mapAdams operationcomplexesChern charactersDutta multiplicity

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Grothendieck groups, (K)-theory and commutative rings (13D15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (12)

Numerical equivalence defined on Chow groups of Noetherian local rings ⋮ Unnamed Item ⋮ Intersection multiplicity of modules in the positive characteristics ⋮ A new proof of the new intersection theorem ⋮ Multiplicities and Betti numbers in local algebra via lim Ulrich points ⋮ Total Betti numbers of modules of finite projective dimension ⋮ Integrality of the Chern character in small codimension ⋮ Cyclic Adams operations ⋮ Test modules to calculate Dutta multiplicities ⋮ The cone spanned by maximal Cohen-Macaulay modules and an application ⋮ Standard conjecture \(D\) for matrix factorizations ⋮ On the limit of Frobenius in the Grothendieck group

Cites Work

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• Frobenius and multiplicities
• An approach to the characteristic free Dutta multiplicity
• A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings
• A Special Case of Positivity
• On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci
• Test modules to calculate Dutta multiplicities

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