Papers

  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, 2020 (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 and 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.