Generating Functions of Orbifold Chern Classes I : Symmetric Products

Details Generating Functions of Orbifold Chern Classes I : Symmetric Products Generating Functions of Orbifold Chern Classes I : Symmetric Products

2006-04-27

arxiv.org/abs/math/0604583v2

Math. Proc. Cambridge Phil. Soc. 144, (2008), 423--438 (a revised version)

Mathematics

Algebraic Geometry

(v2) a tentatively revised version

Scientific paper

For a possibly singular complex variety $X$, generating functions of total "orbifold Chern homology classes" of symmetric products $S^nX$ are given. Those are very natural "Chern class versions" (in the sense of Schwartz-MacPherson) of known generating function formulae of (generalized) orbifold Euler characteristics of $S^nX$. In fact more generally we introduce the "class version" of the Dey-Wohlfahrt formula in classical group theory.

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