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arXiv · 2005.03803

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

Eva Elduque·Mircea Mustata
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Abstract

For a smooth germ of 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 $f\vert_H$ and the invariant $θ_0(f)$ of the hypersurface. By building on an approach due to Loeser, we prove the conjecture in the case of log canonical thresholds.

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Eva Elduque, Mircea Mustata. 2021-05-19. On a conjecture of Teissier: the case of log canonical thresholds. https://doi.org/10.1070/sm9442

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