2016/02/03 by Luca Rizzi, Rizzi, Luca, Francesco Zucconi +1
Mathematics · #14C34 #14D07 #14J10 #14J40 #14J70 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C34 #msc:14D07 #msc:14J10 #msc:14J40 #msc:14J70
paper · pdf · doi:10.48550/arxiv.1602.01243
18 pages
arxiv created 2016/02/03 · arxiv updated 2016/02/04
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.