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.
A note on the plane curve singularities in positive characteristic.arXiv preprint arXiv:2207.14523,
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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.