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.
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.
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。