Automorphisms of projective manifolds

2021/04/27 by Aristide Tsemo, Tsemo, Aristide
Mathematics · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2104.12932

openalex publication_date 2021/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (M,P∇_M) be a compact projective manifold and Aut(M,P∇_M) its group of automorphisms. The purpose of this paper is to study the topological properties of (M,P∇_M) if Aut(M,P∇_M)) is not discrete by applying the results that I have shown in [13] and the Benzekri's functor which associates to a projective manifold a radiant affine manifold. This enables us to show that the orbits of the connected component of Aut(M,P∇_M) are immersed projective submanifolds. We also classify 3-dimensional compact projective manifolds such that dim(Aut(M,P∇_M))≥ 2.

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