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基礎数理研究部門（中山 昇）
Showing the original Japanese · View translation
代数多様体や複素多様体の双有理幾何学を研究する研究室。
AboutAbout the lab
不変量を手がかりに、多様体の構造を調べる。
中山研究室は、
小平次元や
全射だが
Key terms
- 双有理幾何学
- 一部分を
除いて 同じ 形と みなせる 多様体どうしを 同じ ものとして 扱い、 その 構造を 調べる 幾何学 - 小平次元
- 標準因子から
決まる 双有理不変量の 一つ。 多様体を 大きく 分類する 手が かりに なる - 自己正則写像
- 多様体から
その 多様体自身への、 正則な （複素解析的・代数的な） 写像
ResearchResearch themes
代数多様体や
*Illustrative image双有理不変量と多様体の構造
不変量や
*Illustrative image自己正則写像をもつ多様体の分類
全射だが
*Illustrative imageℚゴレンシュタイン変形
特殊な
MembersFaculty
- Associate Professor中山 昇
VoicesStudent voices
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基礎数理研究部門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: “Sarti dodectic 360” Salix alba / CC BY-SA 4.0 (cropped)
- 双有理不変量と
多様体の 構造: “Sarti sextic 48 A” Salix alba / CC BY-SA 4.0 (cropped) - 自己正則写像を
もつ多様体の 分類: “Fatou sets for Blaschke fraction f(z) = rho * z^2 * (z-3) over (1-3z)” Adam majewski / CC BY-SA 4.0 (cropped) - ℚゴレンシュタイン変形: “Sarti sextic 48 (Stabchen)” Salix alba / CC BY-SA 4.0 (cropped)
- Related lab (基礎数理研究部門
（望月 拓郎） ): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped) - Related lab (基礎数理研究部門
（山下 剛） ): “Riemann zeta function absolute value vi” Conscious / CC BY 2.5 (cropped) - Related lab (基礎数理研究部門
（小野 薫） ): “Torus vectors radial” RokerHRO / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（入江 慶） ): “Overtwisted contact structure” Pmassot / CC BY-SA 3.0 (cropped)
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