Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties

DOI10.1016/S0764-4442(00)80012-9zbMath0957.14007OpenAlexW2055838684MaRDI QIDQ4719797

Paolo Aluffi

Publication date: 17 February 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)80012-9

zbMATH Keywords

divisordifferential formsbirational mapChow groupChern-Mather classChern-Schwartz-MacPherson class

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic classes and numbers in differential topology (57R20) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (16)

Chern classes for singular varieties, revisited. ⋮ Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces ⋮ Characteristic Classes ⋮ Lagrangian geometry of matroids ⋮ Stellahedral geometry of matroids ⋮ Tautological classes of matroids ⋮ Essence of independence: Hodge theory of matroids since June Huh ⋮ Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture ⋮ Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds ⋮ Chern classes of Schubert cells and varieties ⋮ Chern classes of blow-ups ⋮ The Euclidean distance degree of smooth complex projective varieties ⋮ Shadows of blow-up algebras ⋮ Positivity of Chern classes of Schubert cells and varieties ⋮ Equivariant Hirzebruch class for singular varieties ⋮ Homology theory formulas for generalized Riemann-Hurwitz and generalized monoidal transformations

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