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

@article{Elduque2020OnAC, title={On a conjecture of Teissier: the case of log canonical thresholds}, author={Eva Elduque and Mircea Mustaţǎ}, journal={Sbornik: Mathematics}, year={2020}, volume={212}, pages={433 - 448} }

For a smooth germ of an algebraic variety and a hypersurface in , with an isolated singularity at , Teissier conjectured a lower bound for the Arnold exponent of in terms of the Arnold exponent of a hyperplane section and the invariant 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.

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