, The fact that the Newton polytope of f is irreducible implies that one between NP(g) and NP(h) consists of a point, which implies that NP(f ) = NP(g) + NP(h)

, Assume from now on that the hypotheses of Claim 6.4.8 are satisfied. Bealso Z (f,g) (1, ?) = div(? * gs g ) · div(f s f ) · X ?

, ?) = div(? * gs g ) · V (f ), p.16

, * gs g ) are assumed to meet properly in X ? , the moving lemma assures the existence of sections s 0 ,. .. , s n?2 of O(D 0 ),. .. , O(D n?2 ) respectively with div(s 0 ),. .. , div(s n?2 ), div(f s f ), div(? * gs g ) intersecting properly, Since X ? is projective and div(f s f ) and div

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