Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0002-9947-2013-05838-2
Title: Automorphism groups of positive entropy on projective Threefolds
Authors: Campana, F.
Wang, F.
Zhang, D.-Q. 
Keywords: Automorphism
Complex dynamics
Iteration
Topological entropy
Issue Date: 2014
Citation: Campana, F.,Wang, F.,Zhang, D.-Q. (2014). Automorphism groups of positive entropy on projective Threefolds. Transactions of the American Mathematical Society 366 (3) : 1621-1638. ScholarBank@NUS Repository. https://doi.org/10.1090/S0002-9947-2013-05838-2
Abstract: We prove two results about the natural representation of a group G of automorphisms of a normal projective threefold X on its second cohomology. We show that if X is minimal, then G, modulo a normal subgroup of null entropy, is embedded as a Zariski-dense subset in a semi-simple real linear algebraic group of real rank ≤ 2. Next, we show that X is a complex torus if the image of G is an almost abelian group of positive rank and the kernel is infinite, unless X is equivariantly non-trivially fibred. © 2013 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/102912
ISSN: 00029947
DOI: 10.1090/S0002-9947-2013-05838-2
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