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筑波大学数学談話会
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  3. April 2025

April 2025

2025/4/1 / Last updated : 2025/4/4 hirayama.michihir.gn

アーベル多様体上の直線束について

日 時 2025年4月24日(木)14:00〜15:30 場 所 自然系学系D棟D509 講演者 伊藤 敦(筑波大学) 題 目 アーベル多様体上の直線束について 概 要 代数多様体上の直線束に対し切断の比を考えることで,その代数多様体から射影空間への有理写像が定まる.この有理写像がいつ写像になるか,もしくはいつ埋め込みになるか等を調べることは代数幾何学において重要な問題である.本講演では,この問題をアーベル多様体(射影空間に代数的に埋め込まれる複素トーラス)上の直線束の場合に解説する.

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