The F-pure threshold of quasi-homogeneous polynomials

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On F-pure Thresholds

Using the Frobenius map, we introduce a new invariant for a pair (R, a) of a ring R and an ideal a ⊂ R, which we call the F-pure threshold c(a) of a, and study its properties. We see that the F-pure threshold characterizes several ring theoretic properties. By virtue of Hara and Yoshida’s result [HY], the F-pure threshold c(a) in characteristic zero corresponds to the log canonical threshold lc...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2018

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2017.03.005