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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

    1.Introduction 2.Groebner Bases 3.Proof of Theorem A

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