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代数幾何学セミナー
過去の記録 ～05/04｜次回の予定｜今後の予定 05/05～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2014年04月28日(月)
15:30-17:00 数理科学研究科棟(駒場) 122号室
Alexandru Dimca 氏 (Institut Universitaire de France )
Syzygies of jacobian ideals and Torelli properties (ENGLISH)
Alexandru Dimca 氏 (Institut Universitaire de France )
Syzygies of jacobian ideals and Torelli properties (ENGLISH)
[ 講演概要 ]
Let C be a reduced complex projective plane curve defined by a homogeneous equation f(x,y,z)=0. We consider syzygies of the type afx+bfy+cfz=0, where a,b,c are homogeneous polynomials and fx,fy,fz stand for the partial derivatives of f. In our talk we relate such syzygies with stable or splittable rank two vector bundles on the projective plane, and to Torelli properties of plane curves in the sense of Dolgachev-Kapranov.
Let C be a reduced complex projective plane curve defined by a homogeneous equation f(x,y,z)=0. We consider syzygies of the type afx+bfy+cfz=0, where a,b,c are homogeneous polynomials and fx,fy,fz stand for the partial derivatives of f. In our talk we relate such syzygies with stable or splittable rank two vector bundles on the projective plane, and to Torelli properties of plane curves in the sense of Dolgachev-Kapranov.
