Generation of Hauptmoduln of Γ1(N) by Weierstrass units and application to class fields

• Autorzy: Chang Kim , Ja Koo
• Języki publikacji: EN

Abstrakty

EN

We show that the modular functions j 1,N generate function fields of the modular curve X 1(N), N ∈ {7; 8; 9; 10; 12}, and apply them to construct ray class fields over imaginary quadratic fields.

Słowa kluczowe

EN

Modular curve; Modular function; Class field

Kategorie tematyczne

• 14H55: Riemann surfaces; Weierstrass points; gap sequences
• 11F06: Structure of modular groups and generalizations; arithmetic groups
• 11F11: Holomorphic modular forms of integral weight
• 11F03: Modular and automorphic functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1389-1402

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Chang Kim

• Hanyang University

autor

Ja Koo

• Korea Advanced Institute of Science and Technology

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0080-5