Pregled bibliografske jedinice broj: 672897
Birational maps of X(1) into P^2
Birational maps of X(1) into P^2 // Glasnik matematički, 48 (2013), 2; 301-312 doi:10.3336/gm.48.2.06 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 672897 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Birational maps of X(1) into P^2
Autori
Muić, Goran ; Mikoč, Damir
Izvornik
Glasnik matematički (0017-095X) 48
(2013), 2;
301-312
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
projective plane; algebraic curves; birational maps; uniformization
Sažetak
Birational maps of modular curve X (1) attached to SL(2, Z) into the projective plane are studied in the paper. It is shown that every curve of genus 0 and degree q in the projective plain can be uniformized by modular forms for SL(2, Z ) of weight 12q but not with modular forms of smaller weight, and that the corresponding uniformization can be chosen to be a birational equivalence. Other regular maps from X(1) into the projective plane are studied, and the equation of obtained projective curve is computed in the paper. Numerical examples are provided in SAGE.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
