Brylinski-Radon transformation and generic projections

2023/07/01 by Yongqiang Liu, Liu, Yongqiang, Laurenţiu Maxim +3
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2307.00352

openalex publication_date 2023/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Brylinski-Radon transformation, we prove that under a generic surjective linear map from Cⁿ to C^m, the pushforward of a perverse sheaf is perverse, modulo shifts of constant sheaves.

Related

• Brylinski-Radon transformation in characteristic p>0
• Perverse Filtrations via Brylinski-Radon transformations
• Generic linear perturbations
• Monodromy of the Radon transform
• Transversality theorems on generic linearly perturbed mappings