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2andf13 21Ifthenumberofindexonecriticalpointsorthenumberofindextwocriticalpointsoffisgk1thenf132isagenusgsurfaceWe xagradientlike owonYcorrespondingtofWerequireftohavethepropertytha

2]andf1[3 2;1).Ifthenumberofindexonecriticalpointsorthenumberofindextwocriticalpointsoffis(g+k1) then=f1(3=2)isagenusgsurface.We xagradientlike owonYcorrespondingtof.Werequireftohavethepropertytha

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