2006年9月

# F-pure thresholds and F-jumping exponents in dimension two

MATHEMATICAL RESEARCH LETTERS
• Nubuo Hara

13
5-6

747

760

INT PRESS

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.

Web of Science ® 被引用回数 : 22

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