研究生: |
黃鐘響 CHUNG-HSIANG HUANG |
---|---|
論文名稱: |
HILBERT-KUNZ 函數在 C_3-QUARTICS CURVES 中有4重根. THE HILBERT-KUNZ FUNCTION OF C_3-QUARTICS CURVES HAVING A ZERO OF ORDER 4. |
指導教授: |
洪有情
Hung, Yu-Ching |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
畢業學年度: | 87 |
語文別: | 中文 |
論文頁數: | 17 |
中文關鍵詞: | HILBERT-KUNZ |
英文關鍵詞: | HILBERT-KUNZ |
論文種類: | 學術論文 |
相關次數: | 點閱:302 下載:0 |
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令 f=p_1(x,z)y^3+p_4(x,z) 是一個NON-DEGENERATE C_3-QUARTICS ,且p_4有4重根,則 f 的HILBERT-KUNZ 函數是(1)13/4*^p^(2n) 若p^(2n)跟4同餘
(2)13/4*p^(2n)-9/4 若不是的話
Let f=p_1(x,z)y^3+p_4(x,z) be a non-degenerate C_3 guartic, and p_4 have order 4 zero. Then the Hilbert-Kunz function of the hypersurface f is
(1)13/4*^p^(2n) if p^(2n)=4*k
(2)13/4*p^(2n)-9/4 otherwise
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