On a simple model of X_0(N) (CROSBI ID 248546)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kodrnja, Iva
engleski
On a simple model of X_0(N)
We find plane models for all X_0(N), N≥2 . We observe a map from the modular curve X_0(N) to the projective plane constructed using modular forms of weight 12 for the group Γ_0(N) ; the Ramanujan function Δ, Δ(N⋅) and the third power of Eisestein series of weight 4, and prove that this map is birational equivalence for every N≥2. The equation of the model is the minimal polynomial of Δ(N⋅)/Δ over C(j) .
Modular forms ; Modular curves ; Birational equivalence ; Modular polynomial
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Podaci o izdanju
186 (4)
2018.
653-661
objavljeno
0026-9255
1436-5081
10.1007/s00605-018-1161-3