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数論幾何・代数幾何（谷本 祥）
Showing the original Japanese · View translation
方程式の有理数の解を、高次元代数幾何の手法で調べる。
AboutAbout the lab
方程式の有理数解を、代数幾何で調べる。
谷本祥先生は、
有理数を
現代では、
先生は、
Key terms
- 代数多様体
- いく
つかの 多項式の 方程式を 満たす点を 集めて できる 図形 - 有理点
- 代数多様体の
上の 点の うち、 座標が すべて 有理数 （分数で 書ける 数）に なっている 点 - モジュライ空間
- ある
種類の 図形を 全部 集め、 その 一つ ひとつを 点と みな してできる 空間
ResearchResearch themes
有理数係数の
*Illustrative image高次元代数幾何の数論幾何への応用
Fano多様体の
*Illustrative imageFano多様体上の曲線のモジュライ空間
逆向きに、
*Illustrative image大域関数体の上のManin予想
代数幾何的な
MembersFaculty
- Professor谷本 祥
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 数論幾何・代数幾何（谷本 祥）
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組合せ論・The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped)
- 高次元代数幾何の
数論幾何への 応用: “Hexastix Glass Art” Artofglassmuseum / CC BY-SA 4.0 (cropped) - Fano多様体上の
曲線の モジュライ空間: “Calabi-Yau” Lunch / CC BY-SA 2.5 (cropped) - 大域関数体の
上の Manin予想: “Stainless steel Möbius strip sculpture” Fumikas Sagisavas / CC0 (cropped) - Related lab (代数幾何
（石井 亮） ): “Surface of degree 7” Jean Constant / CC BY-SA 4.0 (cropped) - Related lab (組合せ論・代数幾何
（中村 勇哉） ): “Willmore Surface sculpture Durham” Chemical Engineer / CC BY-SA 4.0 (cropped) - Related lab (代数的整数論・数論幾何・代数幾何
（藤原 一宏） ): “Clay tablet, mathematical, geometric-algebraic, similar to the Euclidean geometry. From Tell Harmal, Iraq. BCE. Iraq Museum” Osama Shukir Muhammed Amin FRCP(Glasg) / CC BY-SA 4.0 (cropped) - Related lab (組合せ論・
表現論 （岡田 聡一） ): “Line in combinatorics” Tensorproduct / CC BY-SA 4.0 (cropped)
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