Last Updated：2025/12/05
Sentence
代数幾何学やリーマン面の上級講義では、クラインの四次曲線が、種数3のコンパクトなリーマン面でその種に対して最大の自己同型群を持つ例として（向きを保つ自己同型が168個、向き反転も含めると336個）特に注目される。
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In many advanced courses on algebraic geometry and Riemann surfaces, the Klein quartic is highlighted as a compact genus-3 Riemann surface with the largest possible automorphism group for that genus — 168 orientation-preserving automorphisms and 336 automorphisms if orientation reversal is allowed.
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In many advanced courses on algebraic geometry and Riemann surfaces, the Klein quartic is highlighted as a compact genus-3 Riemann surface with the largest possible automorphism group for that genus — 168 orientation-preserving automorphisms and 336 automorphisms if orientation reversal is allowed.
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Related words
Klein quartic
Noun
Japanese Meaning
数学における「Klein quartic」とは、3属のコンパクトなリーマン面の一種であり、その属で可能な最大の自己同型群（向きを保存する場合は168個、向きを反転可能な場合は336個の自動変換）を持つ対象です。
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