... Carleman, cac ham ph\1 (xem phffn 3.2) va s1,1' khai quat boa loi giiH mQt bai toaD t6i ttu ve khoang cach tit g6c de'n mQt phffn bien cua Grotzsch (xem b6 de 3.3 va 3.4) Chttdng trlnh bay cac ke't ... va 3.4) Chttdng trlnh bay cac ke't qua chinh cua lu~n van Chttdng trlnh bay mQt bai toaD t6i ttu lien quaD de'n va'n de lu~n van Cu6i clIng la ke't lu~n cac ke't qua tho dtt
... di€m w=O, co cac ph~n bien O"o'O"W"'O"p-l khong thoai boa cac di€m rai r(;lC ph~n bien ngoai C voi max {IwllwE c} va = sac 2, 1- cho B bi€n chinh no bai phep quay W = e P w Bi.ic bi~t cac O"j(j ... w Bi.ic bi~t cac O"j(j = 0,1, ,p -1) la cac cung troll d6ng tam va C la du'ang troll ddn vi, ta vi€t B =Bo GQi G Ia lOp cac PBHKABG z = g ( w) mien BIencac mien chuffn A la hlnh troll Izi < bi ... 19n Ml;]cdfch chinh cua lu~n van la thie't l~p cac c~n tren va c~n du'di dung ho~c ti~m c~n dung cho Ig(w)1 va cac dC;\ilu'cac modun bao...
... di~p DI len hinh vanh khan HI : 1j < Iwl < Rl' Khi mi€n nhi lien D (c D1) qua phepbienhinh f se trd mi€n nhi lien H voi bien CI (CJ baa quanh ho~c trimg duong troll Iwl= 1j) va bien ngoai Cz ... d€ 3.3 B6 d~ 3.4 Gid sa D Za hinh vanh khan Q < Izl < R trit pn (p E N, n E N u {v}) nhat cdt ndm tren cac duong trim dang tam saD cho D trung vlii chinh no bai phep 2" quay Z = e'f; z, f ZaPBHKABG ... trim Izl = Q tUClngring bien C] gilii h~n mQt ttJ-p dong chaa goc tQa dQ, duilng trim Izl = R tUdng ring bien ngoai C2 Hdn naa, gid ,z" 1- sit'E trung wJi chinh no bai phep quay W > mz - = e P...
... mien EI len mien nhi lien E2 c6 bien l-uc ngoai la du'Ctng troll It1= va bien Ia nhat dt th~ng n6i di~m vdi tJ = - Co (hinh 4.1) I-d C - GQi s la PBHBG mi~n E2 len hinh vanh khan EJ = {s II( < Isl ... Fl bien baa giac deln di~p miin A LenmQt miin Bf co bien ngoai C (f) va bien c(f) saG cho L(t) c(f) vcJi D (f) = 1, Vf EFJ trang D(f) LaduiJngkinh cua c(f) GQi S(f) Ladi~n tich trang cua miin bien ... R(p,t,s) do-Co ( I-dc =1( thil( =R J I, do-co ,o dodinh ( I-dc 0 J (hinh 4.1) Khi d6: mod(EJ)=mod(E2)=mod(EJ)= R I, ( Vi phepbie'nhinh k = gu-1 tu mi~n d (4.14) - co, 1- doco ) Eo len mi~n Ao nhu'dff...
... f(A'), Vf E IF Tren phgn bien rf cua B~ tinh d6i xung quay p Iffncua f ph,\i co p diem: 21rV /- Wv = aM(f)e P vdi lal=1, M(f) = m~xlwl werj (v = 0,1, , P -1) Vi cac phffn bien cua B f thuQc v€ rj ... phepbie'n hlnh bao giac hlnh vanh khan Az len mi~n nhi lien B~ gidi hl;lnbdi phgn bien ngoai Iwl= I va phgn bien gam p ohat dt It I I; = {w 0,; 11
... 1952 [11] Ng6 Thu Luong, Danh gia cho cae phep bitn hlnh K - a bao giac nhilng mi~n gilJi hr;lnbiJi dl1ong trim va cung trim, Lu~n van Th~c ... Tricomi, EG., Elliptsche Funktionen, Leipzig Akad Verlagsges., 1948 [20] Truong Thu~n, Danh gia [{Jp phep bitn hlnh a bao giac Zenhlnh vanh khan bi cilt theo cae cung trim dffi x((ng quay, Lu~n van...
... troll = r v6'i r > I cac phan bien khac °O,OI, Op-Ikh6ng thoai hoa 211: 1- cac di~m rai r~c Han nua qua phep quay W = e P w mi~n B v~nla chinhno D~c bi~t cac 0) (j = O p-I) la cac cling troll d6ng ... th~ bien bao giac clan di~p bai z = g( w) len mi~n Izl> bi cat d9C (n -I) cling troll d6ng tam t~i g6c cho g( CfJ ) = 00, m9t phan bien cho tru6'c tuang ilng v6'i duang troll Izi = I Cacphepbien ... dfch chinh cua lu~ van la thi€t l~p cac c~ tren va c~ du6i dung ho~c ti~m c~n dung cho Ig( ~ va cac dC;liuqng d~c trung cho mi~n chuiln A: w l R(g), p(g), m*(00,g), v g E G tuc toan bQ cac modun...
... v6i dang !hue Kay fa (~1 r ~ ~ ~ (~r Theo b6 d~ 2.1, g-] la phepbienhinh nguQ'c tu hinh vanh khan l~n H phai la phepbienhinh tuyen tinh nguy~n, C] va Cz phai la duang troll Iwl = r] va ... suy tir b6 d~ 2.5 nha cacphepbien d6i B6 de 2.7 (Bat dfingthirc cua Gr~tzsch[91tr.220 ; = Q , ~ = !!!l z w IDa r(mg) Gia Slr w = I(z)la phepbienhinh K-a bao giac don di~p hinh v~mhkhan A = {zl(O ... l~n hinh vanh khan va theo nguy~n 19 d6i xUng thi t6n t~ nh~t di~m a E (c,b) saD cho qua phepbienhinhbien hiOOtrOll don vi l~n chinh no u=u(z)= z-a - = 1-az ,u(a) = O,u(l)= 1, mi~n A bien...
... Jordan Yon&m B noi bien C cua B v6'i di~m W=OO Gi j Ia cac duemg c6 duqc Yo quay nhU'ng g6c 21lj(j = l p -1) Cac y p duemg yj chia mi~n B p mi~n nhi lien v6'i cacbien la p phan bien gj cua B Gi ... bien C !w!=1 Ta c~t mi~n B bai ria argw = 1Tthl cac mi~n B, A se co cac duOng cong tuong ling noi C v6i w= 00ho~c Izl= v6i z = 00 34 B \,~ W ~ ~, I~ z = g(w) " A " r~ z'~Fz ~h(W) B J d 0;0 Hinh3 .2 ... th1Jchi~n phep bi€n mnh mi~n A l~n mi~n A" (hinh ve) Khi do: R" = x(Rj ) = jR;,L" = x(L j ) G
... B6 dS 2.9 """""."."""."""' " " "" ""."" , 18 B6 dS2.10 Chuang CHuAN 3.1 19 DANH GIA CHO PREP BIENHINH BAo GIAC g LEN MIEN Danh gia ban kinh Q ,." "",."""""",.".".,."." Dinh ly 3.1 """." ", ... 5.1 40 5.4 Danh gia cae di~n tieh 40 5.5 Cae danh gia khae eho c va d 41 Chuang HI; QuA SUYRA TU cAc DANHGIA 44 H~qua6.1 44 H~qua6.2 45 H~ qua 6.3 47 H~ qua 6.4 50 H~ qua 6.5 KETLUAN TAl LIBu...
... cap p cua phep biin hinh h E H miJn imh B - Z11: 1- phiii trung vai chinh no qua phep quay w = e P w ) M\lc dich cua lu~n van la Kay d\Il1gcac danh gia cho Ih(t;)I,h E H,t; E A va cac d~i luQ'llg ... tr.335]) Phep bi~n hinh g chi co th~ sai khac bAngmQt phep quay Ran nua theo nguyen I;' d6i KUngg phai co tinh d6i Kungquay c~pp - V~y E trung v6i chinh no qua phep quay z = e 21t 1- P , z, tuc cac ... sung cac k~t qua cua hai tac gia va cac bai baa cua Vo Bang Thao([14], [15], [16], [17]) Lu~n van gam cac phftn sau day: : Chuong 1: M6' dftu va kY hi~u .: Chuong 2: Dinh nghia phepbien hinh...