Solvable automorphisms groups of a compact Kähler manifold
نویسنده
چکیده
Let X be a compact Kähler manifold of complex dimension n, and let G be a connected solvable subgroup of the automorphism group Aut(X). Let N(G) be the normal subgroup of G of elements of null entropy. The aim of this short paper is to show that G/N(G) is a free abelian group of rank ≤ n− 1 and that the rank estimate is optimal. This proves the conjecture of Tits type in [6] affirmatively. The main strategy of this paper is to combine the method of Dinh and Sibony and the theorem of Lie-Kolchin type.
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