Index Formula for Macpherson Cycles of Affine Algebraic Varieties
نویسندگان
چکیده
We give explicit MacPherson cycles for the Chern-MacPherson class of a closed affine algebraic variety X and for any constructible function α with respect to a complex algebraic Whitney stratification of X . We define generalized degrees of the global polar varieties and of the MacPherson cycles and we prove a global index formula for the Euler characteristic of α. Whenever α is the Euler obstruction ofX , this index formula specializes to the Seade-Tibăr-Verjovsky global counterpart of the Lê-Teissier formula for the local Euler obstruction.
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تاریخ انتشار 2009