Projective manifolds with hyperplane sections
being five-sheeted covers of P^n -- Yasuharu Amitani

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Let L be a very ample line
bundle on a smooth complex projective variety X of dimension at
least 7.  We
classify the polarized manifolds (X,L) such that there exists a smooth member
A of |L| endowed with a branched covering of degree five pi:
A --> P^n.  The cases of deg pi = 2 and 3 have
been already studied by Lanteri-Palleschi-Sommese.