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For low order jets, it is known how to construct meromorphic frames on the space of the so-called vertical -jets of the universal hypersurfaceparametrizing all projective hypersurfaces of degree . In 2004, for , Siu announced that there exist two constants and such that the twisted tangent bundleis generated at every point by its global sections. In the present article, we establish this property outside a certain exceptional algebraic subset defined by the vanishing of certain Wronskians,...
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