Compact K\"ahler manifolds with automorphism groups of maximal rank
Algebraic Geometry
2015-12-01 v2 Dynamical Systems
Abstract
For an automorphism group G on an n-dimensional (n > 2) normal projective variety or a compact K\"ahler manifold X so that G modulo its subgroup N(G) of null entropy elements is an abelian group of maximal rank n-1, we show that N(G) is virtually contained in Aut_0(X), the X is a quotient of a complex torus T and G is mostly descended from the symmetries on the torus T, provided that both X and the pair (X, G) are minimal.
Keywords
Cite
@article{arxiv.1307.0196,
title = {Compact K\"ahler manifolds with automorphism groups of maximal rank},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1307.0196},
year = {2015}
}
Comments
Added Hypothesis (C) to Theorem 1.2. No change of the proofs