Some theorems on the k-theory of coherent sheaves

DOI10.1080/00927877908822414zbMath0429.18017OpenAlexW2009354248MaRDI QIDQ3866272

Clayton C. Sherman

Publication date: 1979

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927877908822414

zbMATH Keywords

spectral sequencevector bundlesalgebraic K-theorycoherent sheaffinite Krull dimensionalgebraic geometry schemeNoetherian separated scheme

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (14)

On \(K_1\) of curves over global fields. Appendix by C. Weibel ⋮ 𝑅-equivalence in spinor groups ⋮ Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion) ⋮ The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero ⋮ On a spectral sequence for equivariant \(K\)-theory ⋮ Cycles on curves over global fields of positive characteristic ⋮ Algebraic K-theory ⋮ Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves ⋮ Covering groups and their integral models ⋮ A finiteness theorem for the symmetric square of an elliptic curve ⋮ Degree four cohomological invariants for quadratic forms ⋮ Torsion zero-cycles on the self-product of a modular elliptic curve ⋮ Algebraic \(K\)-theory and the norm residue homomorphism ⋮ Equivariant connective 𝐾-theory

Cites Work

• The K-theory of an equicharacteristic discrete valuation ring injects into the K-theory of its field of quotients
• Products in K-theory and intersecting algebraic cycles
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• K-cohomology of regular schemes
• Higher algebraic K-theory: I
• Unnamed Item

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