Space of initial conditions for the four-dimensional Garnier system revisited (Recent developments in mathematics of integrable systems)

IR (HANDLE) Open Access
  • Takenawa, Tomoyuki
    Faculty of Marine Technology, Tokyo University of Marine Science and Technology

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Description

A geometric study is given for the 4-dimensional Garnier system. By the resolution of indeterminacy, the group of its Bäklund transformations is lifted to a group of pseudoisomorphisms between rational varieties obtained from ℙ² ×ℙ² by 10 or 21 blow-ups. The root basis is discussed in the Néron-Severi bilattices for the space with 10 blow-ups.

Journal

  • RIMS Kôkyûroku Bessatsu

    RIMS Kôkyûroku Bessatsu B96 117-130, 2024-07

    Research Institute for Mathematical Sciences, Kyoto University

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Details 詳細情報について

  • CRID
    1050585407779235584
  • NII Book ID
    AA12196120
  • HANDLE
    2433/293101
  • ISSN
    18816193
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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