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組合せ論・代数幾何（中村 勇哉）
Showing the original Japanese · View translation
極小モデル理論と特異点理論から代数多様体を探る研究室。
AboutAbout the lab
代数多様体の性質のよい代表元を探す。
中村 勇哉准教授の
双有理幾何学は、
代表元を
極小モデル理論の
Key terms
- 双有理幾何学
- 複素代数多様体を、
双有理同値類ごとに 性質の よい 代表元を 見つけて 調べる 幾何学 - 極小モデル
プログラム - 部分
多様体を つぶす 操作を 繰り返し、 性質の よい 代表元 （極小モデル）に 到達する 方法 - フリップの
停止問題 - 極小モデル
プログラムで、 フリップと いう 操作が 無限に 繰り返されない ことを 示す未解決の 問題
ResearchResearch themes
この
*Illustrative imageフリップの停止問題
極小モデル
*Illustrative image有限体上のファノ多様体の有理点
極小モデル理論の
*Illustrative image周期グラフのEhrhart理論
趣味が
MembersFaculty
- Associate Professor中村 勇哉
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 組合せ論・代数幾何（中村 勇哉）
数論幾何・代数幾何
複素幾何
偏微分方程式・流体力学
数理物理・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: “Willmore Surface sculpture Durham” Chemical Engineer / CC BY-SA 4.0 (cropped)
- フリップの
停止問題: “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped) - 有限体上の
ファノ多様体の 有理点: “Rational points of bounded height outside the 27 lines on Clebsch's diagonal cubic surface” Ulrich Derenthal, Oliver Labs / CC BY-SA 3.0 (cropped) - 周期グラフの
Ehrhart理論: “Goldberg polyhedron 5 3” Tomruen / CC BY-SA 3.0 (cropped) - Related lab (数論幾何・代数幾何
（谷本 祥） ): “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped) - Related lab (複素幾何
（糟谷 久矢） ): “Triangle general surface” Gregors / CC BY-SA 3.0 (cropped) - Related lab (偏微分方程式・流体力学
（菱田 俊明） ): “F1 CFD Simulation” Cofaser / CC BY-SA 4.0 (cropped) - Related lab (数理物理・
一般相対性理論・宇宙論 （泉 圭介） ): “Lensed Galaxy Arc in Galaxy Cluster RCS” NASA Hubble / CC BY 2.0 (cropped)
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