Corrections to “Extremal disks and extremal surfaces of genus three” [MR2122195]

• Nakamura Gou

  Science Division, Center for General Education Aichi Institute of Technology

書誌事項

タイトル別名

• Corrections to "Extremal disks and extremal surfaces of genus three"

抄録

We correct a result in "Extremal disks and extremal surfaces of genus three", Kodai Math. J. 28, no. 1 (2005), 111-130. In the paper we have shown that there exist 16 compact Riemann surfaces of genus three up to conformal equivalence in which two extremal disks are isometrically embedded. However we have three more of them up to conformal equivalence. In the present paper we give these three surfaces and show that they are hyperelliptic. We also determine the groups of automorphisms of them.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 37 (2), 475-480, 2014

  国立大学法人 東京工業大学理学院数学系

キーワード

• extremal disk
• extremal surface
• the group of automorphisms
• hyperelliptic surface
• Weierstrass point

詳細情報

• CRID: 1390001205272642688
• NII論文ID: 130004949004
• DOI: 10.2996/kmj/1404393899
• ISSN: 18815472
• ISSN: 03865991
• ISSN: http://id.crossref.org/issn/03865991
• MRID: 3229088
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可