"클라인 4차곡선의 주기 행렬"의 두 판 사이의 차이
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==관련논문== | ==관련논문== | ||
* Braden, H. W., and T. P. Northover. 2010. “Klein’s Curve.” Journal of Physics A: Mathematical and Theoretical 43 (43) (October 29): 434009. doi:http://dx.doi.org/10.1088/1751-8113/43/43/434009. http://arxiv.org/abs/0905.4202. | * Braden, H. W., and T. P. Northover. 2010. “Klein’s Curve.” Journal of Physics A: Mathematical and Theoretical 43 (43) (October 29): 434009. doi:http://dx.doi.org/10.1088/1751-8113/43/43/434009. http://arxiv.org/abs/0905.4202. | ||
| + | * Tadokoro, Yuuki. 2008. “A Nontrivial Algebraic Cycle in the Jacobian Variety of the Klein Quartic.” Mathematische Zeitschrift 260 (2) (October 1): 265–275. doi:http://dx.doi.org//10.1007/s00209-007-0273-6. | ||
* Tretkoff, C. L., and M. D. Tretkoff. 1984. “Combinatorial Group Theory, Riemann Surfaces and Differential Equations.” In Contributions to Group Theory, 33:467–519. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=767125. | * Tretkoff, C. L., and M. D. Tretkoff. 1984. “Combinatorial Group Theory, Riemann Surfaces and Differential Equations.” In Contributions to Group Theory, 33:467–519. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=767125. | ||
2013년 8월 23일 (금) 09:56 판
개요
$$x^3y+y^3z+z^3x=0$$
- $g=3$인 복소대수곡선
- 주기 행렬은 다음과 같이 주어진다
$$ \frac{1}{2} \left( \begin{array}{ccc} \rho & 1 & 1 \\ 1 & \rho & 1 \\ 1 & 1 & \rho \\ \end{array} \right) $$ 여기서 $\rho=\frac{-1+\sqrt{-7}}{2}$.
매스매티카 파일 및 계산 리소스
관련논문
- Braden, H. W., and T. P. Northover. 2010. “Klein’s Curve.” Journal of Physics A: Mathematical and Theoretical 43 (43) (October 29): 434009. doi:http://dx.doi.org/10.1088/1751-8113/43/43/434009. http://arxiv.org/abs/0905.4202.
- Tadokoro, Yuuki. 2008. “A Nontrivial Algebraic Cycle in the Jacobian Variety of the Klein Quartic.” Mathematische Zeitschrift 260 (2) (October 1): 265–275. doi:http://dx.doi.org//10.1007/s00209-007-0273-6.
- Tretkoff, C. L., and M. D. Tretkoff. 1984. “Combinatorial Group Theory, Riemann Surfaces and Differential Equations.” In Contributions to Group Theory, 33:467–519. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=767125.