, Soit ? : E(a, b) ? ?? M un plongement d'ellipsoide dans une variété de classe C * . Soit C une courbe symplectique plongée, d'aire supérieure à b. Alors il existe un plongement ? : E(a, b) ? ??
, Il est tout d'abord évident que pour ? ? 1, ?E(p, q) se plonge dans M , de sorte que son intersection avec C soit le grand axe Eclatons ce (petit) ellipsoide, et notons S le diviseur singulier et?Cet? et?C la transformée stricte de C. La courbê C intersecte S positivement et transversalement en un point de S max d'après la proposition A.8. Ainsi, S??CS?? S??C est un diviseur singulier au sens de la définition 4.1. La classe A := [? * ?] ? ? w i e i vérifie Gr (A) =0puisque E(a, b) se plonge dans M , A · E>0 puisque qA est représentée pour certains J génériques d'après la méthode de Donaldson. De plus, la condition A ? (C) >b implique exactement que A ·, On peut donc procéder à l'inflation singulière le long de la classe A, comme dans la proposition 4.2, et on obtient une forme symplectique dans la classe PD(A)
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