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    Title      l  Finiteness of solvable automorphisms with null entropy on a compact K¨ahler manifold
    Author   l  Jin Hong Kim
    Date   l  2013-03-07
    Category   l  ASARC-Prepint-13-01
    Download    l 1363134105_0.742608.pdf  
Let G be a solvable subgroup of the auctomorphism group Aut(X) of a compact
Kahler manifold X of complex dimension n, and let N(G) be the normal subgroup of
G consisting of elements with null entropy. Let us denote by G the image of G under
the natural map from Aut(X) to GL(V;R), where V is the Dolbeault cohomology group
H1;1(X;R). Assume that the Zariski closure of G in GL(VC) is connected. The main
aim of this paper is to show that, when the rank r(G) of the quotient group G=N(G) is
equal to~

Keyword

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