Диссертация (1137397), страница 16
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Âíå äàííûõ îðáèò ìû ïîëó÷àåì íå ìåíåå äâóõ ÷èñåë, êîòîðûå íå îáðàùàþòñÿâ íîëü.Ïî Ëåììå 9.11 ìû ñíîâà ïîëó÷àåì, ÷òîω02 ∈ R.Ïðèìåíÿÿ Ëåììó 9.11 è Ïðåäëîæåíèå 9.21 íåñëîæíî çàìåòèòü, ÷òî äëÿ âñÿêèõèω02 ∈ Rôðîáåíèóñîâî ìíîãîîáðàçèå(τ0 ,ω0 )M6îïðåäåëåíî íàäñóùåñòâóåòåäèíñòâåííîåôðîáåíèóñîâîìíîãîîáðàçèå,√−1RR.3.2. Äîêàçàòåëüñòâî òåîðåìû î çåðêàëüíîé ñèììåòðèè òèïà LGLG.÷òîτ0 ∈óäîâëåòâîðÿþùååÏîêàæåì,àêñèîìàìîðáèôîëäîâîé Àìîäåëè ËàíäàóÃèíçáóðãà.ÑîãëàñíîàêñèîìàìîðáèôîëäîâîéÀìîäåëè,ìíîãîîáðàçèå äîëæíî áûòü îïðåäåëåíî íàäQ.ðàññìîòðåòü òîëüêî ôðîáåíèóñîâû ìíîãîîáðàçèÿ c99ñîîòâåòñòâóþùååôðîáåíèóñîâîÏî Ïðåäëîæåíèÿ 9.23 è 9.24 ñëåäóåòτ0 ∈√−1R.Òðåáóÿ,MP12,2,2,2÷òîôðîáåíèóñîâîìíîãîîáðàçèåñ êâàäðàòè÷íî èððàöèîíàëüíûìτ0 ,ïðèíàäëåæèòÏîÒåîðåìå9.19ìíîãîîáðàçèÿìû ïîëó÷àåì ïî Ïðåäëîæåíèþ 9.10 íåîáõîäèìîåóñëîâèå 3ìåðíîå ôðîáåíèóñîâî ìíîãîîáðàçèåêâàäðàòè÷íî èððàöèîíàëüíûìA(τ0 ,ω0 ) îðáèòå(τ0 ,ω0 )M3äîëæíî áûòü îïðåäåëåíî íàäQñτ0 .êîìïëåêñíîåτ0÷èñëîïðèíàäëåæèòñïèñêó,ïðèâåäåííîìóâÑëåäñòâèè 9.17 è ÿâëÿåòñÿ ÷èñòî ìíèìûì.
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