Last Updated
：2025/12/05
Hurwitz surface
Noun
Japanese Meaning
ハルヴィッツ面：コンパクトなリーマン面で、面の種数gに対して84(g−1)個の自己同型（自動変換）を持つ。Hurwitzの自己同型に関する定理により、この数は極限値となる。
（ plural ）
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(geometry) A compact Riemann surface with precisely 84(g − 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of Hurwitz's theorem on automorphisms.
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Hurwitz surface
The Hurwitz surface attracts interest because its extreme symmetry imposes strong constraints on the possible complex structures.
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The Hurwitz surface attracts interest because its extreme symmetry imposes strong constraints on the possible complex structures.
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