- 學位論文
一些三項高次曲面的希爾伯特方程式
On Hilbert-Kunz Functions of Some Trinomial Hypersurfaces
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並列摘要
In this paper, by making use of Gr"{o}bner basis, we determine
the Hilbert-Kunz function of some trinomial hypersurfaces of the
form
[f:=X^{a}Y^{b}+Y^{c}Z^{d}+Z^{e}] with $0
參考文獻
ibitem{R} R. O. Buchweitz and Q. Chen,
Hilbert-Kunz functions of cubic curves and surfaces, {em J.
Algebra} { f 197} (1997), 246--267.
On Hilbert-Kunz function and representation ring, {em Bull. Inst.
On Hilbert-Kunz functions of some hypersurfaces, {em J. Algebra}
延伸閱讀
- 王志傑 (2001). 平面二次與三次曲線的希爾伯特方程式 [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-2603200719120124
- Lin, Y. H. (2016). 志村曲線在西格爾模三維流型上的映射 [doctoral dissertation, National Chiao Tung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0030-2212201712252520
- 謝佳叡、朱啟台、李政豐、曾政清、李政貴、陳昭地（2012）。偶次與三次單項式函數圖形的弦切弧三角不等式。科學教育月刊，(355)，25-38。https://doi.org/10.6216/SEM.201212_(355).0002
- Lin, Y. L. (2001). Hilbert-Kunz Functions of Binomial Hypersurfaces [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-1904200711532641
- Iyudu, N., & Shkarin, S. (2010). Minimal Hilbert Series for Quadratic Algebras and the Anick Conjecture. Proceedings of the Estonian Academy of Sciences, 59(4), 301-305. https://www.airitilibrary.com/Article/Detail?DocID=17367530-201012-201012070008-201012070008-301-305