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代数幾何学セミナー
過去の記録 ～10/17｜次回の予定｜今後の予定 10/18～
| 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 |
次回の予定
2025年10月31日(金)
13:00-14:30 数理科学研究科棟(駒場) 118号室
いつもと開始時間が異なります。
Miguel Angel Barja 氏 (UPC-Barcelona)
Asymptotic and continuous constructions in the geography of fibred varieties
いつもと開始時間が異なります。
Miguel Angel Barja 氏 (UPC-Barcelona)
Asymptotic and continuous constructions in the geography of fibred varieties
[ 講演概要 ]
Given a fibred variety $X$ onto a smooth variety $T$ it is possible to consider different types of inequalities between birational invariants associated to a line bundle $L$, such as Noether, Slope or Severi inequalities. Most of these inequalities are closely related through asymptotic constructions and/or continuous functions that suggest the use of some new invariants. We will survey different constructions both in characteristic 0 and positive characteristic, and will focus in the case of varieties of maximal Albanese dimension, fibred over curves. If time permits, we will also give some ideas on fibrations over surfaces.
Given a fibred variety $X$ onto a smooth variety $T$ it is possible to consider different types of inequalities between birational invariants associated to a line bundle $L$, such as Noether, Slope or Severi inequalities. Most of these inequalities are closely related through asymptotic constructions and/or continuous functions that suggest the use of some new invariants. We will survey different constructions both in characteristic 0 and positive characteristic, and will focus in the case of varieties of maximal Albanese dimension, fibred over curves. If time permits, we will also give some ideas on fibrations over surfaces.
