On a conjecture of Teissier: the case of log canonical thresholds

Abstract For a smooth germ of an algebraic variety and hypersurface $(f=0)$?> in $X$?> , with isolated singularity at $0$?> Teissier conjectured lower bound for the Arnold exponent $f$?> terms hyperplane section $f|_H$?> invariant $\theta_0(f)$?> hypersurface. By building on approach due to Loeser, we prove conjecture case log canonical thresholds. Bibliography: 21 titles.