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代数幾何・微分幾何・複素幾何（久本 智之）
Showing the original Japanese · View translation
偏微分方程式で、代数多様体の幾何学的な性質を調べる研究。
AboutAbout the lab
方程式を手がかりに、多様体の標準計量を考える。
久本智之先生は、
とくに、
最近は、
卒業研究の
Key terms
- 代数多様体
- いく
つかの 多項式の 方程式の 解と して 表される 図形。 曲線や 曲面を 高い 次元に 広げた もの - ケーラー計量
- 複素多様体の
上で、 長さや 角度を 測る ための 特別な 物差し。 複素構造と うまくかみ合う - K安定性
- どの
退化に ついても Donaldson-二木不変量が 正である ときに 言う 安定性。 標準計量の 存在と 関わる - Fano多様体
- 曲率が
正の 向きに そろった 代数多様体
ResearchResearch themes
モンジュ・アンペール方
*Illustrative image標準計量と安定性
射影
*Illustrative image一様安定性
共同研究で
*Illustrative image最適な退化と放物型方程式
最近は、
MembersFaculty
- Associate Professor久本 智之
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解析的整数論・代数的整数論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: “Peano intersection” Salix alba / CC BY-SA 4.0 (cropped)
- 標準計量と
安定性: “Differential geometry of manifolds of figures 1977 cover” 作者不詳 / Public domain (cropped) - 一様
安定性: “Algebraic geometry” P.wormer / CC BY-SA 3.0 (cropped) - 最適な
退化と 放物型方程式: “De Long Room - DPLA - 4a293bd28e3b53c081af01f5355f855c” Brackett, J. Raymond / Public domain (cropped) - Related lab (微分幾何・複素幾何・力学系・
大域解析学 （松尾 信一郎） ): “Minimal surface curvature planes-nl” ChristiaanPR / CC BY-SA 4.0 (cropped) - Related lab (フーリエ解析・偏微分方程式
（加藤 淳） ): “Ocean waves water” Jon Sullivan / Public domain (cropped) - Related lab (微分幾何・離散幾何解析・偏微分方程式・
数値解析 （内藤 久資） ): “Carbon lattice diamond” GYassineMrabetTalk✉ This structure was created with PyMOL. / Public domain (cropped) - Related lab (解析的整数論・代数的整数論
（ヘンリク・バッハマン） ): “ZetaFunction” Gaussianer / Public domain (cropped)
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