休眠GL$_{n}$乍の通常性について : 研究報告 (Algebraic Number Theory and Related Topics 2015)

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  • On the ordinariness of dormant GL$_{n}$-opers : a research announcement (Algebraic Number Theory and Related Topics 2015)

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This article includes a brief explanation of the ordinariness of dormant GL_{n}‐opers and a research announcement for results in the papers titled "Abelian étale coverings of generic curves and ordinariness of dormant opers" (cf. [28]) and "The symplectic nature of the space of dormant indigenous bundles on algebraic curves" (cf. [26]) . In this article, we first recall the notion of a (dormant) GL_{n} ‐oper on a proper smooth curve and give some examples of dormant GL_{n} ‐opers arising from certain objects in characteristic p geometry (including Tango structures). Then, we give the definition of the ordinariness of dormant GL_{n}‐opers and propose two related assertions; the first assertion concerns the relationship between the ordinariness of dormant GL_{n}‐opers and Galois coverings of the underlying curves; the second assertion concerns the symplectic structure on the moduli stack classifying ordinary dormant GL_{2} ‐opers.

"Algebraic Number Theory and Related Topics 2015". November 30 - December 4, 2015. edited by Hiroki Takahashi, Yasuo Ohno and Takahiro Tsushima. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

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詳細情報 詳細情報について

  • CRID
    1050845763804805120
  • NII論文ID
    120006766077
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/244742
  • 本文言語コード
    ja
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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