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On the algebraic solutions of the sixth Painlev\'e equation related to second order Picard-Fuchs equations

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We describe two algebraic solutions of the sixth Painlev\'e equation which are related to (isomonodromic) deformations of Picard-Fuchs equations of order two.

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Cite

@article{arxiv.math/0405308,
  title  = {On the algebraic solutions of the sixth Painlev\'e equation related to second order Picard-Fuchs equations},
  author = {Bassem Ben Hamed and Lubomir Gavrilov},
  journal= {arXiv preprint arXiv:math/0405308},
  year   = {2007}
}

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9 pages