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応用数理研究部門（川北 真之）
Showing the original Japanese · View translation
極小モデルプログラムで代数多様体の双有理幾何を研究する研究室。
AboutAbout the lab
代数多様体の双有理幾何を、極小モデルプログラムで。
川北研究室は、
極小モデル
3次元因子収縮写像の
これまでの
Key terms
- 双有理幾何
- 代数多様体どうしを、
ほとんどの 点で 1対1に 対応させる 写像で 移り合う ものを 同じと みなして 調べる 幾何学 - 極小モデル
プログラム - 各双有理同値類の
中から、 代表と なる 多様体を 段階的な 操作で 取り出していく 手順 - 特異点
- 図形が
なめらかでなく、とがったり 自分自身と 交わったりしている 点
ResearchResearch themes
代数多様体の
*Illustrative image3次元因子収縮写像の分類
3次元双有理幾何を
*Illustrative imageフリップの終止と極小対数的食違い係数
この
*Illustrative image逆同伴問題
多様体と
*Illustrative image特異点の有界性問題
超
MembersFaculty
- Associate Professor川北 真之
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Du Val singularities” Aizenr / CC BY-SA 4.0 (cropped)
- 3次元因子収縮写像の
分類: “Sarti's Octic with 72” Salix alba / CC BY-SA 4.0 (cropped) - フリップの
終止と 極小対数的食違い 係数: “Surface of degree 7” Jean Constant / CC BY-SA 4.0 (cropped) - 逆同伴問題: “DoubleCone” Lars H. Rohwedder (User:RokerHRO) / Public domain (cropped)
- 特異点の
有界性問題: “Whitney umbrella” Shmurak / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門（上田 福大）
): “Eisenstein 14” Jan Homann / Public domain (cropped) - Related lab (応用数理研究部門
（疋田 辰之） ): “Young tableau for partitions of number 10 stacked” Unmismoobjetivo / CC BY 4.0 (cropped) - Related lab (応用数理研究部門
（牧野 和久） ): “B functies 2var versie02” Bob.v.R / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（磯野 優介） ): “Bernoullishift” Andreas Mandl / CC BY-SA 3.0 (cropped)
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