On non-hyperbolic algebraic automorphisms of a two-dimensional torus
On non-hyperbolic algebraic automorphisms of a two-dimensional torus
Abstract. This paper contains a complete classification of algebraic non-hyperbolic automorphisms of a two-dimensional torus, announced by S. Batterson in 1979. Such automorphisms include all periodic automorphisms. Their classification is directly related to the topological classification of gradient-like diffeomorphisms of surfaces, since according to the results of V. Z. Grines …