Abstract
We prove a full generalization of the Castelnuovo’s free pencil trick. We show its analogies with Rizzi and Zucconi (Differential forms and quadrics of the canonical image. arXiv:1409.1826, Theorem 2.1.7); see also Pirola and Zucconi (J Algebraic Geom 12(3):535–572, Theorem 1.5.1). Moreover we find a new formulation of the Griffiths’s infinitesimal Torelli Theorem for smooth projective hypersurfaces using meromorphic 1-forms.
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