English

Higher genus icosahedral Painleve curves

Algebraic Geometry 2007-06-25 v2 Classical Analysis and ODEs

Abstract

We will write down the higher genus algebraic curves supporting icosahedral solutions of the sixth Painleve equation, including the largest (genus seven) curve.

Cite

@article{arxiv.math/0506407,
  title  = {Higher genus icosahedral Painleve curves},
  author = {Philip Boalch},
  journal= {arXiv preprint arXiv:math/0506407},
  year   = {2007}
}

Comments

12 pages (actual solutions with icosahedral linear monodromy added)

R2 v1 2026-07-22T17:20:57.169Z