Geodesic
On a~conjecture of Teissier: the case of~log canonical thresholds
Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 433-448

Voir la notice de l'article provenant de la source Math-Net.Ru

For a smooth germ of an algebraic variety $(X,0)$ and a hypersurface $(f=0)$ in $X$, with an isolated singularity at $0$, Teissier conjectured a lower bound for the Arnold exponent of $f$ in terms of the Arnold exponent of a hyperplane section $f|_H$ and the invariant $\theta_0(f)$ of the hypersurface. By building on an approach due to Loeser, we prove the conjecture in the case of log canonical thresholds. Bibliography: 21 titles.
Keywords: Arnold exponent, multiplier ideals, log canonical thresholds. 
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     title = {On a~conjecture of {Teissier:} the case of~log canonical thresholds},
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E. Elduque; M. Mustaţă. On a~conjecture of Teissier: the case of~log canonical thresholds. Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 433-448. http://geodesic.mathdoc.fr/item/SM_2021_212_3_a11/