Intersection numbers and twisted period relations for the generalized hypergeometric function m+1Fm

• GOTO Yoshiaki

  Department of Mathematics Graduate School of Science Kobe University

書誌事項

タイトル別名

• INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION <b><i>_m</i></b><b>₊</b>₁<b><i>F</i></b><b><i>_m</i></b>

抄録

We consider the generalized hypergeometric function _m+1F_m and the differential equation _m+1E_m that it satisfies. We use the twisted (co)homology groups associated with an Euler-type integral representation. We evaluate the intersection numbers of the twisted cocycles that are defined as the mth exterior productsof logarithmic 1-forms.We also provide the twisted cycles corresponding to the local solutions to _m+1E_m around the origin, and we evaluate their intersection numbers. The intersection numbers of the twisted (co)cycles lead to the twisted period relations between two fundamental systems of solutions to _m+1E_m.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 69 (1), 203-217, 2015

  九州大学大学院数理学研究院

キーワード

• generalized hypergeometric functions
• twisted (co)homology group
• intersection forms
• twisted period relations.

詳細情報

• CRID: 1390282680206331008
• NII論文ID: 130005076142
• DOI: 10.2206/kyushujm.69.203
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/69/1/69_203/_pdf
• 本文言語コード: en
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