On automorphisms and endomorphisms of projective varieties

2013/04/28 by Michel Brion, Brion, Michel · 1 citation
Mathematics · #14L10 #14L15 #14L30 #20M32 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications

paper · doi:10.48550/arxiv.1304.7472

openalex publication_date 2013/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first show that any connected algebraic group over a perfect field is the neutral component of the automorphism group scheme of some normal projective variety. Then we show that very few connected algebraic semigroups can be realized as endomorphisms of some projective variety X, by describing the structure of all connected subsemigroup schemes of End(X).

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• On Endomorphisms of Projective Algebraic Varieties

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