F-pure thresholds and F-jumping exponents in dimension two
نویسندگان
چکیده
منابع مشابه
F-pure Thresholds and F-jumping Exponents in Dimension Two
Using an argument based on an idea of Monsky, we prove the rationality of the F-pure thresholds of curve singularities on a smooth surface defined over a finite field. More generally, we prove in this setting the rationality and discreteness of F-jumping exponents, the smallest positive one of which is the F-pure threshold. We also give a lower bound for F-pure thresholds in the homogeneous case.
متن کاملOn 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...
متن کامل2 00 3 on F - Pure Thresholds
Using the Frobenius map, we introduce a new invariant of 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 some 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(a) ...
متن کاملSe p 20 07 Formulas of F - thresholds and F - jumping coefficients on toric rings ∗
F-thresholds are defined by Mustaţǎ, Takagi and Watanabe, which are invariants of the pair of ideals on rings of characteristic p > 0. In their paper, it is proved F-thresholds equal to jumping numbers for the test ideal on regular local rings. In this note, we give formulas of F-thresholds and F-jumping coefficients on toric rings. We prove that there exists an inequality between F-jumping coe...
متن کاملA ug 2 00 8 Formulas of F - thresholds and F - jumping coefficients on toric rings ∗
Mustaţǎ, Takagi and Watanabe define F-thresholds, which are invariants of a pair of ideals in a ring of characteristic p > 0. In their paper, it is proved that F-thresholds are equal to jumping numbers of test ideals on regular local rings. In this note, we give formulas of F-thresholds and F-jumping coefficients on toric rings. By these formulas, we prove that there exists an inequality betwee...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2006
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2006.v13.n5.a6