Generalized adjoint forms on algebraic varieties
Algebraic Geometry
2016-02-04 v1
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 -forms.
Cite
@article{arxiv.1602.01243,
title = {Generalized adjoint forms on algebraic varieties},
author = {Luca Rizzi and Francesco Zucconi},
journal= {arXiv preprint arXiv:1602.01243},
year = {2016}
}
Comments
18 pages