Email this article On a conjecture of Teissier: the case of log canonical thresholds
- Authors: Elduque E.1, Mustaţă M.1
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Affiliations:
- University of Michigan, Department of Mathematics
- Issue: Vol 212, No 3 (2021)
- Pages: 175-192
- Section: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/142370
- DOI: https://doi.org/10.4213/sm9442
- ID: 142370
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Abstract
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.
About the authors
Eva Elduque
University of Michigan, Department of Mathematics
Mircea Mustaţă
University of Michigan, Department of Mathematics
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