科研之友
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摘要
We present results on the Watanabe-Yoshida conjecture for the Hilbert-Kunz multiplicity of a local ring of positive characteristic. By improving on a %26quot;volume estimate%26quot; giving a lower bound for Hilbert-Kunz multiplicity, we obtain the conjecture when the ring has either Hilbert-Samuel multiplicity less than or equal to 5 or dimension less than or equal to 6. For nonregular rings with fixed dimension, a new lower bound for the Hilbert-Kunz multiplicity is obtained.
- 出版日期2013-12
