reeman-roqa-prakar pramey

bijganitiy bhoomitimadhye, reeman-rock pramey vividh samanyikarananmadhye aahe; sarvat prasiddha grauthendic-reeman-rock pramey aahe, jeey fulton aanee itaranmule tayar jhalelya sutradvare aanakhi samanyikrut kele jaate.
bomm, fulton aanee mcfersionmule tayar hote.
sootra _ 1 aanee sootra _ 2 heey, yogya rupankanasaha, aadhar kshetra 'keey' varr, vegalya kelelya aanee sthanik patalivar maryadit prakarchya yojananchya 'see' shrenivar karya karnare asoo dya.
tasech, jarr sootra _ 6 heey (jaagtik) sthanik sampoorn chhedanbindu rupankan asel; i.eae.heey eka bund niyamit embedding sootra mhanoon ghatak karate _ 7 eka gulgulit yojana "pii" madhye tyanantar eka gulgulit aakarman sootra _ 8, nantar chala
x' varr vector bandalchya grauthendic gatatil varg assa; too factorizationpasoon swatantra aahe aanee tyala 'f' chey aabhasi sparshika bundle mhanatat.
mug reeman-roqa pramey heey eka adviteey naisargik parivartanachya nirmitiche praman aaheh
done functor darmyan, jase qee 'see' madheel pratyek yojana 'ex' sathee, homomorphism sootra _ 11 samadhankarak aaheh sthanik sampoorn chhedanbindu morphism sootra _ 6 sathee, jevha bund embedding sootra _ 13 gulgulit yojnanmadhye asatat,
jethe sootra _ 15 heey lahan mulanchya vargacha sandarbh dete.
shivay, tyache gunadharm aaheth
samparivartanshil reeman-roqa pramey.
jatil sankhyanvar, pramey heey samparivartan nirdeshank siddhantache eka vishesh prakaran aahe (kinwa asey arth lavala jaau shakato).
deligney-mufford stacksathi reeman-roqa pramey.
bijganitiy jaaga vagalata, stacksathi konatehi saral samanyikaran shakya nahee. orbifold kesamadhye (kavasakichya reeman-rotch) guntagunt aadhich disun yete.
maryadit gatansathi samparivartanshil reeman-roqa pramey haah anek paristhitinmadhye maryadit gatanchya bhagakar stacksathichya reeman-roqa prameyala samatulya aahe.
yaa prameyatil eka mahattvapoorn anuprayog mhanje teey ekhadyala 'keey'-saiddhantik aabhasi moolbhut vargachya sandarbhat aabhasi moolbhut vargachi vyakhya karnyas anumati dete.

