Canonical classes on singular varieties

DOI10.1007/BF01299611zbMath0451.14001MaRDI QIDQ1147767

William Fulton, Kent W. Johnson

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154734

zbMATH Keywords

Chern classSegre classsingular varietiescanonical classconormal sheafgroup of cycles modulo rational equivalence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20)

Related Items (19)

GROTHENDIECK GROUPS AND A CATEGORIFICATION OF ADDITIVE INVARIANTS ⋮ Segre Classes and Invariants of Singular Varieties ⋮ Stringy Chern classes of singular varieties ⋮ A remark on the Chern classes of local complete intersections ⋮ Spectral Hirzebruch-Milnor classes of singular hypersurfaces ⋮ Hirzebruch-Milnor classes of complete intersections ⋮ Characteristic classes of complex hypersurfaces ⋮ Hodge polynomials of singular hypersurfaces ⋮ NOTES ON VANISHING CYCLES AND APPLICATIONS ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ An application of bivariant theory to Milnor classes ⋮ Shadows of blow-up algebras ⋮ Milnor classes of local complete intersections ⋮ Rational equivalence on singular varieties ⋮ Ample vector bundles, Chern classes, and numerical criteria ⋮ Immersion and embedding of projective varieties ⋮ Equivariant Hirzebruch class for singular varieties ⋮ Lê cycles and Milnor classes ⋮ Euler characteristic of a complete intersection

Cites Work

• Nuovi metodi e risultati nella geometria sulle varietà algebriche
• Chern classes for singular algebraic varieties
• Rational equivalence on singular varieties
• THE CHARACTERISTIC CLASSES OF AN ALGEBRAIC FIBER BUNDLE. I
• The Geometrical Invariants of Algebraic Loci

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