
hilbert modular vaividhyam

ganita saastramlo, hilbert modular uparitalam ledhaa hilbert-blumenthal uparitalam anedi hilbert modular samuuham dwara eguva sagam-plain yokka rendu kaapeela utpatti yokka bhaganni teesukovadam dwara pondina beejaganita uparitalam. marinta saadhaaranamgaa, hilbert modular rakam anedi hilbert modular samuuham dwara eguva sagam-plain yokka bahula kaapeela utpatti yokka bhaganni teesukovadam dwara pondina beejaganita rakam.
hilbert modular uparitalaalu modata 10 samvatsaraala kritam david hilbert raasina konni prachurinchani gamanikalanu upayoginchi vivarinchabaddaayi.
nirvachanalu.
r" anedi nijamaina chaturasra kshetram yokka puurnaamkaala valayam ayithe, appudu 
hilbert modular group sla2 ("r") eguva sagam plain "h" yokka rendu kaapeela "h" × "h" utpatti meeda panichestundi.
eee charyaku sambandhinchina aneka dwaipaakshika samaanamaina uparitalaalu unnaayi, veetilo deeninainaa hilbert modular uparitalaalu anie pilustaaruh
eee nirmaanamloo aneka vaividhyaalu unnaih
ekatvam.
 coashant singulaaritiilanu elaa parishkarinchaalo chuupimchaaru mariyu vaati cusp singulaaritiilanu elaa parishkarinchaalo chuupimchaaru.
uparitalaala vargeekarana.
peparlu, mariyu beejaganita uparitalaala vargeekaranalo vaati rakanni gurtinchaayi. vaatilo chaalaa varaku saadhaarana rakamaina uparitalaalu, conny aneka hetubaddhamaina uparitalaalu ledhaa k3 uparitalaalu ledhaa deerghavruttaakaara uparitalaalu.
udaaharanalu.
 udaaharanala yokka sudeergha pattikanu istundi.
clebs uparitalam daani 10 eccordt paayintla vadda egiripotundi, idhi hilbert modular uparitalam.
idhi quadratic feeled extensionku anubandhinchabadindi.
suutram _ 2 kosam quadratic feeled extension formula _ 1 ichinatlayithe, oka nirdishta coashant vaividhyam formula _ 4 nuu kudinchadam mariyu daani ekatvaalanu parishkarinchadam dwara pondina hilbert modular vaividhyam formula _ 3 anubandhamgaa untundi. suutram _ 5 eguva sagam samatalaanni suuchistumdi mariyu suutram _ 6 suutram _ 7 dwara suutram _ 8 paie panichestundi, ikkada suutram _ 9 galois samyogaalu. anubandha bhaagaswaamya rakanni suuchimchaedi formula _ 10 mariyu vividha suutraalaku kudinchavacchu, veetini cusps anie pilustaaru, ivi suutram _ 12 looni aadarsha taragatulato bijectionlo untaayi. daani ekatvaalanu parishkarinchadam anedi feeled podigimpu yokka hilbert modular vaividhyam anie piluvabade vividha suutraalanu istundi. bailey-borrell compactification siddhaantam nundi, eee uparitalam oka projective space loki ponduparachabadindi.