2024/04/15 by Chenyu Bai, Bai, Chenyu
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2404.10138
openalex publication_date 2024/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Voisin constructed self-rational maps of Calabi-Yau manifolds obtained as varieties of r-planes in cubic hypersurfaces of adequate dimension. This map has been thoroughly studied in the case r=1, which is the Beauville-Donagi case. In this paper, we compute the action of Ψ on holomorphic forms for any r. For r=2, we compute the action of Ψ on the Chow group of 0-cycles, and confirm that it is as expected from the generalized Bloch conjecture.