Cicli algebrici sulle varieta’ singolari

DOI10.1007/BF02925052zbMath0704.14005MaRDI QIDQ3483382

Claudio Pedrini

Publication date: 1987

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

intersection theoryintersection cohomologyétale cohomologyalgebraic cyclessingular varietiesDe Rham cohomologysingular cohomologyChow theorygraded Chow ring

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) de Rham cohomology and algebraic geometry (14F40) Algebraic cycles (14C25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

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• Washnitzer's conjecture and the cohomology of a variety with a single isolated singularity
• Riemann-Roch theorems for higher algebraic K-theory
• Quillen's K-theory and algebraic cycles on almost non-singular varieties
• Riemann-Roch for singular varieties
• Vector bundles over affine surfaces
• Deligne homology and Abel-Jacobi maps
• Complete intersection points on affine varieties
• Riemann-Roch for general algebraic varieties
• Bloch's formula for varieties with isolated singularities: I
• Higher algebraic K-theory: I
• RATIONAL EQUIVALENCE OF ZERO-CYCLES

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