Macpherson-Chern classes and characteristic polar cycles

DOI10.1007/BF02362575zbMath0902.32019OpenAlexW2044121924MaRDI QIDQ1356263

David B. Massey

Publication date: 9 March 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02362575

zbMATH Keywords

Milnor numberperverse sheafLê numbersChern-Mather classBorel-Moore homologyWhitney stratificationLê cyclesconstructible functionlocal Euler obstructionMacPherson-Chern classMacPherson-Chern cyclepolar multiplicity

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Differential topological aspects of diffeomorphisms (57R50) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

• Unnamed Item
• The Lê varieties. II
• The Thom condition along a line
• The Lê varieties. I
• Combinatorics and topology of complements of hyperplanes
• Variétés polaires locales et classes de Chern des variétés singulieres
• Chern classes for singular algebraic varieties
• Numerical invariants of perverse sheaves
• Polar multiplicities and equisingularity of map germs
• Higher multiplicities and almost free divisors and complete intersections