P3D6-TEP Bundles

Martin Guest*, Claus Hertling

*この研究の対応する著者

    研究成果: Chapter

    抄録

    In this monograph we are interested in the Painlevé III(D 6) equation of type (α, β, γ, δ) = (0, 0, 4, −4) and in the isomonodromic families of P3D6 bundles which are associated to it in [FN80, IN86, FIKN06, Ni09]. These P3D6 bundles are special and can be equipped with rich additional structure. We shall develop this structure in two steps in Chaps. 6 and 7 The most important part is the TEP structure below. In Chap. 7 it will be further enriched to a TEJPA structure. Isomonodromic families of P3D6-TEJPA bundles will correspond to solutions of the equation PIII(0, 0, 4, −4) (Theorem 10.3).

    本文言語English
    ホスト出版物のタイトルLecture Notes in Mathematics
    出版社Springer Verlag
    ページ49-57
    ページ数9
    2198
    DOI
    出版ステータスPublished - 2017

    出版物シリーズ

    名前Lecture Notes in Mathematics
    2198
    ISSN(印刷版)0075-8434

    ASJC Scopus subject areas

    • 代数と数論

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