Generalized adjoint forms on algebraic varieties

Luca Rizzi; Francesco Zucconi

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arXiv · 1602.01243

Generalized adjoint forms on algebraic varieties

Luca Rizzi·Francesco Zucconi

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Abstract

We prove a full generalization of the Castelnuovo's free pencil trick. We show its analogies with the Adjoint Theorem; see L. Rizzi, F. Zucconi, Differential forms and quadrics of the canonical image, arXiv:1409.1826 and also Theorem 1.5.1 in G. P. Pirola, F. Zucconi, Variations of the Albanese morphisms, J. Algebraic Geom. 12 (2003), no. 3, 535-572. 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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Luca Rizzi, Francesco Zucconi. 2016-02-03. Generalized adjoint forms on algebraic varieties. https://arxiv.org/abs/1602.01243

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