Variety of nets of degree g-1 on smooth curves of low genus

• CHO Kyung-Hye

  Department of Mathematics Seoul National University

• KEEM Changho

  Department of Mathematics Seoul National University

• OHBUCHI Akira

  Department of Mathematics Faculty of Integrated Arts and Sciences Tokushima University

書誌事項

タイトル別名

• Dedicated to Professor Makoto Namba on the occasion of his sixtieth birthday

抄録

We classify smooth complex projective algebraic curves C of low genus 7≤ g≤ 10 such that the variety of nets W_g-1²(C) has dimension g-7. We show that \dim W_g-1²(C)=g-7 is equivalent to the following conditions according to the values of the genus g. (i) C is either trigonal, a double covering of a curve of genus 2 or a smooth plane curve degree 6 for g=10. (ii) C is either trigonal, a double covering of a curve of genus 2, a tetragonal curve with a smooth model of degree 8 in \bm{P}³ or a tetragonal curve with a plane model of degree 6 for g=9. (iii) C is either trigonal or has a birationally very ample g₆² for g=8 or g=7.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 55 (3), 591-616, 2003

  一般社団法人 日本数学会

キーワード

• algebraic curves
• linear series
• branched covering

詳細情報

• CRID: 1390282680091642624
• NII論文ID: 10011478193
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1191418991
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1978211
• NDL書誌ID: 6614413
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6614413
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
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