Deficiencies of meromorphic mappings for hypersurfaces

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概要

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• In this paper we first prove that, for every hypersurface D of degree d in a complex projective space, there exists a holomorphic curve f from the complex plane into the projective space whose deficiency for D is positive and less than one. Using this result, we construct meromorphic mappings from the complex m-space into the complex projective space with the same properties. We also investigate the effect of resolution of singularities to defects of meromorphic mappings.

• 社団法人 日本数学会の論文
• 2005-01-01

著者

• Mori Seiki

  Department Of Mathematical Sciences Faculty Of Science Yamagata University

• AIHARA Yoshihiro

  Division of Liberal Arts Numazu College of Technology

• MORI SEIKI

  DEPARTMENT OF EDUCATION IWATE UNIVERSITY

関連論文

• Uniqueness theorems in an angular domain
• Another proof of Stoll's theorem for moving targets
• Deficiencies of meromorphic mappings for hypersurfaces
• Order of a holomorphic curve with maximal deficiency sum for moving targets(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday)
• SUM OF DEFICIENCIES AND THE ORDER OF A MEROMORPHIC FUNCTION

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