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代数幾何
Showing the original Japanese · View translation
多項式の共通零点がつくる図形を調べる研究分野。
AboutAbout the lab
図形の複雑さを解きほぐし、不思議な有様を見つける。
代数幾何分野は、
代数、
可換環論や
教員の
Key terms
- 多項式の
共通零点 - いく
つかの 多項式の 値が すべて 0に なる点の 集まり。 この 集まりが、 代数幾何学で 調べる 図形に なる - 有理連結多様体
- 有理曲線を
豊富に 持つ代数 多様体。 代数多様体は、 多項式の 共通零点から なる 図形 - 岡の
原理 - 複素解析の
ホモトピー原理。 Stein多様体上の 解析的問題には 位相的な 障害しかない、と いう 発見的な 原理 - 代数的K理論
- 数論幾何学で
調べる 対象の 一つ。 代数多様体の L関数と 関係すると 予想されている
ResearchResearch themes
多項式の
*Illustrative image多項式の零点がつくる図形
多項式の
*Illustrative image代数多様体の有理性の問題
岡田拓三教授は、
*Illustrative image岡の原理とGromov楕円性
日下部佑太准教授は、
*Illustrative image代数的K理論とレギュレーター写像
竹田雄一郎准教授は、
MembersFaculty
- Professor翁 林
- Professor岡田 拓三
- Associate Professor日下部 佑太
- Associate Professor竹田 雄一郎
- Assistant Professor宋 珠愛
- Assistant Professor山岸 亮
VoicesStudent voices
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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: “Heike Kamerlingh Onnes - 29 - Plaster model of a Ψ surface of a mixture of two substances” 作者不詳 / Public domain (cropped)
- 多項式の
零点が つくる 図形: “Polynomial constant-width curve” Lambiam / CC BY-SA 4.0 (cropped) - 代数多様体の
有理性の 問題: “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped) - 岡の
原理と Gromov楕円性: “Geometry problem-Sb 13088-IMG 0593-white” Rama / CC BY-SA 2.0 fr (cropped) - 代数的K理論と
レギュレーター写像: “A De Morgan algebra” AugPi / CC BY 4.0 (cropped) - Related lab (トポロジー): “Klein bottle green” Aizenr / CC BY-SA 4.0 (cropped)
- Related lab (複素解析): “Msltoe - Julia Bulb Mod4 OpenCL HQ 16K 20201222” PantheraLeo1359531 / CC0 (cropped)
- Related lab (表現論・調和解析): “Worm's-eye view of Tokyo Skytree with vertical symmetry impression, a sunny day, in Japan” Basile Morin / CC BY-SA 4.0 (cropped)
- Related lab (微分幾何): “Schwarz H Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
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