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RIPGY = aekf point a make i.e. the mhies . . ) ( × yz ditht by a . 2×4 retries f ) } fr P & Sae span (P → lxo : a g- f with quid me Asses he th ms these Pont f ) xnxsx 91,5=4 " Yu 's, 44 sine prlidrapkf the determinant " 4 : 621124 this so origin man RPN → their if fall, tht , the } in 621124 { a tx the mp nonzero brass . guilt fat , 621134 ↳ a are we define Note , , went to we uidnttgpnb so, we an Now : 1124 Bh the pay : 4 mp a po do f spare in planes - . RIP case Since the & embedding the kxk minors of the of . the I ii , as = dye this get todoktpnb as . mp the kxnmtixgivy thx T = citdy of bsismhx lab - s k) B hat dying & mean bus as msyh he in RIP 3) if ahhtetht ad be to - , , so - . Dan a & RIP utih detonate in ab eddy fr GM " the k plane . → ) , RPK ) - I gin by record of all Of case , " GDR Tf not all points 4-dims il , write 41N we ↳) Pnp Chtk : For P , Pi 3 Pz 4 + }y : 3 , : Pin Pa : Put Ply R3 ), HP) ( × yz = , the in are 41124 mob th } imgef shldeypat 416,1124 ) to be we I Piz :P = - LI } = RIP in 5 ) , the By the by qnhh a side girth is S - if & dims . 13 =0 . xzy, :X , ys - , : determined Since RIP mp . X }Y , - :X Yy , - x4YiiXzY5x3YziXzYu-X44ziX3Yy-X4YDMSopnpy-pbPzytPiqprz-lXiYz-xz4DlxsY4-x4YDtXiY5xsYDklzY4-x44dthhyy-XyHXXzy5x3yDIXiX3YTYq-XXyYjY3-XFYYytXzXyYjY3-Kx@lytXIYzY3tXzXXlYq-XYY42tYYl4tXBYTY4-Xzx4TY3tX3XTYYz-0AslightghlrcaphtinKsthtMpombinlRlP5sAbytheqHmhdaelllBfrsePe6.R ! In th } may system f) particle, 1 a ↳ So now ' . the stock Kinsel 6,1124 we begin 4 Rp5 satisfy qndim G) 's points Df For ' . a in RP sadly nested sqme Gg : Tfl Png ht : , } 01 , a a fie < . Ai then the = a , . the delimit Ao , sit , - having < an . : st . Ao, Pjo ju . . . . . , ± xa ; : = . , . ; 0 n - all Cnd . . 1mg :O : . . :o) } - f S A←, in L ) determined - liver > ai RIP ddqmnd by the uaphy if he Y & 6.1129 points m 4 puts in swbgpaes dsnbspvsf Rp " obey ion , hi l in ht Ai be the ginks 4 or quid ntf that f , , reklthskpwl the 4 gin point in RP ? zi far all i if f RM say tht Ht ) a ai dinsilswbspae L obeys , . the Sohktodiln Ho RIP intseetyl - - , . , An ) . . din 't subspm in Clp " ' f pub to the form . AND wdr the Ptichrhkddg 4 whnw ji 44 idnlitg RIB ntmdj the in yet to be sane dines & for shut f " , , I ig we RU RBDB the settling , . - , a . if dim ( A Ann HH to then RIP { ( xo izef by be the in < , , And , . , Pitdmvaietg men h l } ke in RIP? uhih Ao f A S Az f. the Sdnbstadilm gin htrtto is rwht to & he ) if h lines We . ) a polynomial 6) homogeneous : " GUIR for same i . : 6km → NPK " RPM the ' osdbf eaog the pnbin In then tai :# B) :X FYOYY lxoh sex % xi zij the arsenic intestd in , if l Erl Ao A , , the in conversely the , ) q, , papsith the Aaf Bt let AOFA f : A , fun fan . [ = ' , e Zkl 4 . . , . As { ( so independent so = , D= '' ' xo , § lxo : 0 Yoixoyixob ' :O ntkthzn eikryeyyae ad :o) } & A, :b & q or = B { ( xoix = Ho : 4 0 : ) : ixz ' . "2 : =o&K the xi f are × ' 42 : × ' : the east Zze Zk the so liner , Z4e Zk 3 Ah . , & , to uhih Zee se Zse 2 ad ↳) adik in the pgnsik the Zk , for on ' ' correspond yi to y %, Y" Yi , . which deaf saws the odith f A span ms if the the maximizes fm . zjeg as of the sum : indices : :O) zza . A, , ) dhntf slao an , A, ) . the mtsedmf the hyprpbe { as on =D in R " with the . Bo 4 B , f. ) tmsfmth ) → ) to the image f st tht the special rfao AD GM RIP IRK Rk f Buy . . Bo signs hhih the the . , to be , Buy ) hw stops of f " Ptniwekddgf " tut din Aida Bit so itself & mps the to . 5 AWRY 11364 IRDEIRIP a Sine saw we the led : For , sll any , Rp 3) wheel new , or 4 high h l } la the 4 By just the intaekfhyppts RIP in , Bake , the ingendr the Ptichrabeddy is the inter sedmfahyprpke in Rk ? with So were hp lies : proposition the arrdky , gin , lines the BER 4) was realized RLAO : 5- Aa nwtke rl A inge of oo RIP shyly B) points in , linearly zero RIP stky wire in kenos new , =3 , . zu = a 614=4 ( so mlvix Define the he not bth are ht all me Aine be ; E , in point ay , sine ) htq Xo & xi l =L go So then Pqf not , k=2 , art , B in 4 sets Uh IRP detonate , silly Ptichr Ill imff , , IRPD oh n syli . , . . n RPD silly B , , RPD IRP 3) SB Ain , . . , RU 4 RIPD, , & the set fksmtrady . 4162 MY the Hi is a hyphen IR? i. The ntsedm of This play 4 " IR in spared is 2 Aims il in lR6 B hyper planes 2 Mets T ( h by = ) The mtradmf the plane with 416.1124 ( this a vntbw 2) ( a is a The first ( one case B an aztx fling ) lny re se - lab ) a are little bit artifact of (5) in ¢P3 , & tht , , In ah hg ) at the reefs + (a v , = ( www.s stty A, , 49 w , , } . ) w]y way, . hang ytbw g) ( a vz } tbwr 3) 0 = , whih either by Et - Sown a & 6 line in RIP? a x2 : - Et - 0 = 6=0 : y 2=0 , , , sins solos soks one one one 1h ty the hwy the line x x=o & x=y & o = Y = * y x= o . . . land thteaetg 2 've we so wwhg . , Nba in vzy, Xy HI algebra geometry k , line as " ky , , sing solutions as ] plane a ( avbtbw } ) ( a vzytbwzy ) - solutions as the gown by to be this tbw g) , double cowed ) AN B y " Iii ) 1 ii , form in the near qwdrtc l i ) 2 ( trans li v , B , . i.e. . . . as may or any you Mtmet gwdrktns af Lethe syq Rioted f or lines , a more E. . and covet restrict to RIP 3 you an exaple to a genie point 6,0) of qwtupk of Ks in NP ? as alts real algebra sktht wild be tht exatf 2 serialfoot 0 or 2 Solms ) , - e.g., geady lines B iutbat ×2ti= o - bit sound hook than a gennzqwdsde