Motivic Chern classes of cones

preprint2020arXivOpen access

Abstract

We study motivic Chern classes of cones. First we show examples of projective cones of smooth curves such that their various KK-classes (sheaf theoretic, push-forward and motivic) are all different. Then we show connections between the torus equivariant motivic Chern class of a projective variety and of its affine cone, generalizing results on projective Thom polynomials.

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