Ascending Chain Condition for F-Pure Thresholds with Fixed Embedding Dimension
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.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2019
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnz031