Naslov
On a simple model of X_0(N)

Autori
Kodrnja, Iva

Izvornik
Monatshefte für Mathematik (0026-9255) 186 (2018), 4; 653-661

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Modular forms ; Modular curves ; Birational equivalence ; Modular polynomial

Sažetak
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) .

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA