論文リスト

English page

1. Takafumi Mase, Akane Nakamura, Hidetaka Sakai, Discrete Hamiltonians of discrete Painlevé equations, Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, vol. 29  no. 5, pp. 1251-1264, 2020.

2. Akane Nakamura, Eric Rains, Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems, IMRN, https://doi.org/10.1093/imrn/rnaa037, vol. 2021 Issue 16, pp.12691–12706, 2021 (arXiv:1910.14168).

3. Akane Nakamura, The Painlevé divisors of the autonomous 4-dimensional Painlevé-type equations, RIMS Kôkyûroku Bessatsu, B78, pp.29-50, 2020.

4. Akane Nakamura, Autonomous limit of 4-dimensional Painlevé-type equations and degeneration of curves of genus two,  Annales de l'Institut Fourier,  vol. 69, no. 2,  pp. 845-893, 2019.(arXiv:1505.00885)

5. Akane Nakamura, Two aspects of the theta divisor associated with the autonomous Garnier system of type 9/2, JMM 10, Representation Theory and Differential Equations, pp. 193-214, 2017.

6. Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai, Degeneration scheme of 4-dimensional Painlevé-type equations , MSJ Memoir,  vol. 37, pp.25-111, 2018. (arXiv:1209.3836)

7. Hiroshi Kawakami, Akane Nakamura and Hidetaka Sakai, Toward a classification of four-dimensional Painlevé-type equations, AMS Contemp. Math. 593, pp143–162, 2013.

8. Akane Nakamura, Bäcklund transformation of matrix Painlvé equations (master thesis, in Japanese), University of Tokyo, 2011.

講究録など

1.川上拓志, 中村あかね, 坂井秀隆, 4 次元 Painlevé 型方程式の退化図式, RIMS 講究録 1765, 2011年9月, pp108–123.