Kahlerienneischerte一变种的可交换自同构群
Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte
摘要：
设V是紧致的Kahler流形。设G'是Aut（V）的交换子群，U是G'的零熵元集.则U是群，G'同构于群U和G的直积，其中G是G'的子群，使得G的所有元素，除单位元外，都是正熵.此外，G是一个自由交换群，秩（G）<dim（V）。估计是尖锐的。当rank（G）=dim（V）-1时，U是有限的.秩（G）满足涉及V的Dolbeault上同调群维数的其它不等式.
英文摘要：
Let V be a compact Kahler manifold. Let G' be a commutative subgroup of Aut(V) and U the set of elements of zero entropy of G'. Then U is a group and G' is isomorphic to the direct product of groups U and G where G is a subgroup of G' such that all elements of G, except the identity, are of positive entropy. Moreover, G is a free commutative group with rank(G)<dim(V). The estimate is sharp. When rank(G)=dim(V)-1, U is finite. Rank(G) satisfies other inequalities involving the dimensions of Dolbeault cohomology groups of V.
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