An inequality of Chern numbers of Bogomolov type for minimal varieties (Q1112890)

Let X be a minimal algebraic variety of dimension \(n\geq 3\) over \({\mathbb{C}}\) which is nonsingular in codimension 1. The author proves the following inequality of Bogomolov-type: \[ (-1)^ nc^ n_ 1(X)\leq (-1)^ n2n/(n-1)c_ 1^{n-2}(X)c_ 2(X). \] He uses methods and results of his previous paper [``Stability of tangent bundles of minimal algebraic varieties'', Topology 27, No.4, 429-442 (1988)] and of \textit{I. Enoki} [``Stability and negativity for tangent sheaves of minimal Kähler spaces'', in Proc. 21st Int. Taniguchi Symp., Katata/Japan, Conf., Kyoto/Japan 1987, Lect. Notes Math. 1339, 118-126 (1988)].