TY - JOUR
T1 - F-pure thresholds and F-jumping exponents in dimension two
AU - Hara, Nobuo
AU - Monsky, Paul
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
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U2 - 10.4310/MRL.2006.v13.n5.a6
DO - 10.4310/MRL.2006.v13.n5.a6
M3 - Article
AN - SCOPUS:33846132553
SN - 1073-2780
VL - 13
SP - 747
EP - 760
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 5-6
ER -