On the automorphism group of rational manifolds

2012/10/17 by Turgay Bayraktar, Bayraktar, Turgay
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.AG #math.CV #math.DS

paper · pdf · doi:10.48550/arxiv.1210.4651

6 pages

arxiv created 2012/10/17 · openalex publication_date 2012/10/17 · arxiv updated 2012/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we prove that every automorphism of a rational manifold which is obtained from ℙ^k by a finite sequence blow-ups along smooth centers of dimension at most r with k>2r+2 has zero topological entropy.

Citations

• On automorphisms of blowups of ℙ³

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