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Eliminating y we get one equation for z. e. if (w+, z+) = (~, ~4). 4-DIMENSIONALCOMPACTPROJECTIVEPLANESWITH A 5-DIMENSIONALNILRADICAL 289 F o r x ~ - oo w e get similar expressions, replace the indices + b y - . F r o m (R) and (L) it f o l l o w s that 4 z + - w + _< 0 and 4 z _ - w _ _< 0. F u r t h e r m o r e the a s s u m p t i o n t ~ 0 implies - ~ t 4 - b2 < 0. T h e r e f o r e in any case we h a v e limx__+~ f ( z ) = - ~ and l i m x ~ _ ~ f ( z ) = c~. H e n c e there exists a solution o f f ( x ) = 0 and the t w o lines intersect.