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無限解析研究部門（星 裕一郎）
Showing the original Japanese · View translation
遠アーベル幾何学の観点から、双曲的代数曲線の数論幾何学を研究する研究室。
AboutAbout the lab
双曲的な代数曲線の数論幾何学を探る。
星研究室は、
セクション予想や、
宇宙際タイヒミュラー理論や、
最近は、
Key terms
- 遠アーベル幾何学
- 数論的基本群と
いう 群から、 代数曲線などの 姿を どこまで 取り出せるかを 調べる 分野 - 双曲的代数曲線
- 種数と
取り除いた点の 数が 十分に 大きい 代数曲線。 複素数の 上では 双曲平面を 土台に もつ - セクション予想
- 曲線の
基本群の 完全列の 「切断」が、 曲線の 上の 有理点から 来る ものに 限るかを 問う 予想
ResearchResearch themes
遠アーベル幾何学や
*Illustrative imageセクション予想の研究
数体や
*Illustrative image代数曲線の遠アーベル幾何学
有限体上の
*Illustrative image高次元代数多様体の遠アーベル幾何学
次元4以下の
*Illustrative image組み合わせ論的遠アーベル幾何学
南出新氏・望月新一氏との
MembersFaculty
- Associate Professor星 裕一郎
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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: “Kleinian group limit set on sphere” Adam majewski / CC BY-SA 4.0 (cropped)
- セクション予想の
研究: “Fermat curve” 不詳 / Public domain (cropped) - 代数曲線の
遠アーベル幾何学: “Hyperboloid-tiling-klein” PSL27 / CC BY-SA 4.0 (cropped) - 高次元代数多様体の
遠アーベル幾何学: “16-cell skew octagram” Dc.samizdat / CC BY-SA 4.0 (cropped) - 組み合わせ論的遠アーベル幾何学: “Topological recursion illustration” Eynard / CC BY-SA 4.0 (cropped)
- Related lab (無限解析研究部門
（望月 新一） ): “Kyoto University RIMS” KATSURA Roen / CC BY 3.0 (cropped) - Related lab (無限解析研究部門
（玉川 安騎男） ): “Klein-map” PSL27 / CC BY-SA 4.0 (cropped) - Related lab (無限解析研究部門
（梶野 直孝） ): “Pseudo Kleinian OpenCL K 002” PantheraLeo1359531 / CC BY-SA 4.0 (cropped) - Related lab (無限解析研究部門
（並河 良典） ): “Consani-Scholten” Ursulageorges / CC BY 4.0 (cropped)
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