Deformations of homogeneous foliations

B. L. Zhitnickii

M. V. Lomonosov Moscow State University

Abstract: Let $X$ be a simply connected compact homogeneous Kähler manifold, $b_2(X)=1$, and let $E_\rho$ be a homogeneous vector foliation on $X$. A complete effective family of deformations of a holomorphic vector foliation $E_\rho$, this family parametrized by a neighborhood of zero in $H^1(X,O_{\mathrm{End}E_\rho})$, is constructed.

UDC: 512.2

Received: 14.06.1967

 English version: Mathematical Notes, 1968, 3:6, 415–418

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