2020/05/07 by Emmanuel Allaud, Allaud, Emmanuel
Mathematics · #14D07 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D07
paper · pdf · doi:10.48550/arxiv.2005.03737
Added the remark about the new partial differential equations satisfied by the variation of Hodge structure
arxiv created 2020/07/13 · arxiv updated 2020/07/14
We determine the second fundamental form of a variation of Hodge Structure of a smooth projective hypersurface using the classical identification of the Hodge structure and the action of the infinitesimal variation of Hodge structure with pieces of the Jacobian Ideal of the hypersurface. This simple algebraic description also implies that, in this case, the variation of Hodge structure satisfies a new set of second order partial differential equations.Comments are welcome!