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Higher genus icosahedral Painleve curves · arXivDesk

math/0506407Jun 20, 200512 pages (actual solutions with icosahedral linear monodromy added)

Higher genus icosahedral Painleve curves

Philip Boalch

Algebraic Geometry 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.

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