Chern classes for singular hypersurfaces
Copyright policy )Chern classes for singular hypersurfaces
We prove a simple formula for MacPherson's Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson's class and other definitions of homology Chern classes of singular varieties, such as Mather's Chern class and a class introduced by W. Fulton.
amstex, 39 pages, 2 diagrams (xypic). Also available at http://www.math.fsu.edu/~aluffi/eprint.archive.html
- Florida Southern College United States
14C17 (Primary), 57R20 (Secondary), singular hypersurface, Fulton class, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Chern class, Schwartz-Macpherson class, Mathematics - Algebraic Geometry, Characteristic classes and numbers in differential topology, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Homology of classifying spaces and characteristic classes in algebraic topology, FOS: Mathematics, Algebraic Geometry (math.AG)
14C17 (Primary), 57R20 (Secondary), singular hypersurface, Fulton class, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Chern class, Schwartz-Macpherson class, Mathematics - Algebraic Geometry, Characteristic classes and numbers in differential topology, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Homology of classifying spaces and characteristic classes in algebraic topology, FOS: Mathematics, Algebraic Geometry (math.AG)
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