Derives bounds on F-pure threshold of isolated hypersurface singularities in terms of Milnor/Tjurina numbers and value semigroups, yielding positive-char analogue of Igusa's formula with applications to log canonical threshold and Briancon-Skoda exponent.
Which powers of holomorphic functions are integrable?
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abstract
We show that every limit of log canonical thresholds of n-variable functions is also a log canonical threshold of an (n-1)-variable function.
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2026 1verdicts
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Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities
Derives bounds on F-pure threshold of isolated hypersurface singularities in terms of Milnor/Tjurina numbers and value semigroups, yielding positive-char analogue of Igusa's formula with applications to log canonical threshold and Briancon-Skoda exponent.