In this present paper we study geometry of compact complex manifolds equippedwith a \emph{maximal} torus $T=(S^1)^k$ action. We give two equivalentconstructions providing examples of such manifolds given a simplicial fan$\Sigma$ and a compelx subgroup $H\subset T_\mathbb C=(\mathbb C^*)^k$. Onevery manifold $M$ we define the canonical holomorphic foliation $\mathcal F$and under additional restrictions construct transverse-K\"{a}hler form$\omega_\mathcal F$. As an application of these constructions, we prove someresults on geometry of manifolds~$M$ regarding its analytic subsets.
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机译：在本文中，我们研究了具有\ emph {maximal}圆环$ T =（S ^ 1）^ k $作用的紧凑型复杂流形的几何形状。我们给出两个等价的结构，给出简单流形$ \ Sigma $和compelx子组$ H \子集T_ \ mathbb C =（\ mathbb C ^ *）^ k $的流形实例。在每个流形$ M $上，我们定义了规范的全同叶形$ \ mathcal F $，并在其他限制下构造了横K \“ {a} hler form $ \ omega_ \ mathcal F $。作为这些构造的应用，我们证明了一些结果关于其分析子集的流形几何〜$ M $。
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