## Abstract

Various topological properties of projective duality between real projective varieties and their duals are obtained by making use of the microlocal theory of (subanalytically) constructible sheaves developed by Kashiwara [M. Kashiwara, Index theorem for constructible sheaves, Astérisque 130 (1985) 193-209] and Kashiwara-Schapira [M. Kashiwara, P. Schapira, Sheaves on Manifolds, Grundlehren Math. Wiss., vol. 292, Springer, Berlin-Heidelberg-New York, 1990]. In particular, we prove in the real setting some results similar to the ones proved by Ernström in the complex case [L. Ernström, Topological Radon transforms and the local Euler obstruction, Duke Math. J. 76 (1994) 1-21]. For this purpose, we describe the characteristic cycles of topological Radon transforms of constructible functions in terms of curvatures of strata in real projective spaces.

Original language | English |
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Pages (from-to) | 191-224 |

Number of pages | 34 |

Journal | Advances in Mathematics |

Volume | 212 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2007 Jun 20 |

Externally published | Yes |

## Keywords

- Constructible functions
- Dual varieties
- Radon transforms

## ASJC Scopus subject areas

- Mathematics(all)