1. Algebraic varieties with automorphism groups of maximal rank
- Author
-
De-Qi Zhang
- Subjects
General Mathematics ,Dimension (graph theory) ,Algebraic variety ,Torus ,Dynamical Systems (math.DS) ,Automorphism ,Complex torus ,Combinatorics ,Algebra ,Mathematics - Algebraic Geometry ,32H50, 14J50, 32M05, 37B40 ,FOS: Mathematics ,Rank (graph theory) ,Mathematics - Dynamical Systems ,Algebraic Geometry (math.AG) ,Projective variety ,Quotient ,Mathematics - Abstract
We confirm, to some extent, the belief that a projective variety X has the largest number (relative to the dimension of X) of independent commuting automorphisms of positive entropy only when X is birational to a complex torus or a quotient of a torus. We also include an addendum to an early paper though it is not used in the present paper., Comment: Mathematische Annalen (to appear)
- Published
- 2012