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Sbornik: Mathematics, 2021, Volume 212, Issue 3, Pages 433–448
DOI: https://doi.org/10.1070/SM9442 (Mi sm9442) 		 
On a conjecture of Teissier: the case of log canonical thresholds

E. Elduque, M. Mustaţă

Department of Mathematics, University of Michigan, Ann Arbor, MI, USA
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DOI: https://doi.org/10.1070/SM9442
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.
Keywords: Arnold exponent, multiplier ideals, log canonical thresholds.
Funding agency Grant number
National Science Foundation DMS-1701622
The research of M. Mustaţă was partially supported by the National Science Foundation (grant DMS-1701622).
Received: 08.05.2020 and 16.12.2020
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 3, Pages 175–192
DOI: https://doi.org/10.4213/sm9442
Bibliographic databases:
Document Type: Article
UDC: 512.761
MSC: 14B05, 14F18, 32S25
Language: English
Original paper language: Russian
Citation: E. Elduque, M. Mustaţă, “On a conjecture of Teissier: the case of log canonical thresholds”, Mat. Sb., 212:3 (2021), 175–192; Sb. Math., 212:3 (2021), 433–448
Citation in format AMSBIB
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