2003/10/15 by Ekaterina Amerik, E. Amerik, Amerik, E. +2 · 1 citation
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings, Modules, and Algebras #graph theory and CDMA systems #math.AG
paper · pdf · doi:10.48550/arxiv.math/0310228
15 pages, LaTeX
arxiv created 2003/10/15 · openalex publication_date 2003/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
let f be an endomorphism of a complex projective space, of degree bigger than one. Let us call an algebraic subset exceptional for f, if its inverse image is set-theoretically equal to itself. J.-Y. Briend, S. Cantat and M. Shishikura proved that an irreducible set like this is a linear subspace. In this paper, we obtain a bound for the number of codimension-two exceptional subspaces. In particular, we show that an endomorphism of the projective plane can be completely ramified at nine points at most.