Higher cycles of the moduli space of stable curves

• OHBA Kiyoshi

  Department of Mathematics Faculty of Science Ochanomizu University

書誌事項

タイトル別名

• Higher cycles on the moduli space of stable curves

抄録

We construct a number of analytic cycles on the moduli space of stable curves by using three moduli spaces: the moduli space of tori with one marked point, that of spheres with four marked points, and that of tori with two marked points. We then prove the linear independence of the cycles in the rational homology groups in order to improve Wolpert's estimates for even degree Betti numbers of the moduli space of stable curves.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (2), 231-267, 2000

  一般社団法人 日本数学会

キーワード

• Moduli
• stable curve
• analytic cycle
• Betti number

詳細情報

• CRID: 1390001205115984128
• NII論文ID: 10004480134
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05220231
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742243
• NDL書誌ID: 5374823
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374823
• 本文言語コード: en
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