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代数幾何学セミナー
過去の記録 ～04/23｜次回の予定｜今後の予定 04/24～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室 |
|---|---|
| 担当者 | 權業 善範、中村 勇哉、田中 公 |
2019年07月05日(金)
10:30-12:00 数理科学研究科棟(駒場) 123号室
いつもと曜日・時間・部屋が異なります。
榎園 誠 氏 (東京理科大学)
Durfee-type inequality for complete intersection surface singularities
いつもと曜日・時間・部屋が異なります。
榎園 誠 氏 (東京理科大学)
Durfee-type inequality for complete intersection surface singularities
[ 講演概要 ]
Durfee's negativity conjecture says that the signature of the Milnor fiber of a 2-dimensional isolated complete intersection singularity is always negative. In this talk, I will explain that this conjecture is true (more precisely, the signature is bounded above by the negative number determined by the geometric genus, the embedding dimension and the number of irreducible components of the exceptional set of the minimal resolution) by using the theory of invariants of fibered surfaces. If time permits, I will explain the higher dimensional analogue of Durfee's conjecture for isolated complete intersection singularities.
Durfee's negativity conjecture says that the signature of the Milnor fiber of a 2-dimensional isolated complete intersection singularity is always negative. In this talk, I will explain that this conjecture is true (more precisely, the signature is bounded above by the negative number determined by the geometric genus, the embedding dimension and the number of irreducible components of the exceptional set of the minimal resolution) by using the theory of invariants of fibered surfaces. If time permits, I will explain the higher dimensional analogue of Durfee's conjecture for isolated complete intersection singularities.
