On topological Radon transformations

Lars Ernström*, Toru Ohmoto, Shoji Yokura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We construct a functor, which we call the topological Radon transform, from a category of complex algebraic varieties with morphisms given by divergent diagrams, to constructible functions. The topological Radon transform is thus the composition of a pull-back and a push-forward of constructible functions. We show that the Chern-Schwartz-MacPherson transformation makes the topological Radon transform of constructible functions compatible with a certain homological Verdier-Radon transform. We use this set-up to prove, given a projective variety X, a formula for the Chern-Mather class of the dual variety in terms of that of X.

Original languageEnglish
Pages (from-to)235-254
Number of pages20
JournalJournal of Pure and Applied Algebra
Volume120
Issue number3
DOIs
Publication statusPublished - 1997 Aug 28
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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