4 papers
A brief note on the second fundamental form of the variation of Hodge structure of a smooth projective hypersurface
Emmanuel Allaud
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 act…
Solving a characteristic Cauchy problem
Emmanuel Allaud, Victor Devoue
In this paper we give a meaning to the nonlinear characteristic Cauchy problem for the Wave Equation in base form by replacing it by a family of non-characteristic problems in an a…
Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
Emmanuel Allaud, Javier Fernandez
We prove that the infinitesimal variations of Hodge structure arising in a number of geometric situations are non-generic. In particular, we consider the case of generic hypersurfa…
Non-genericity of variations of Hodge structure for hypersurfaces of high degree
Emmanuel Allaud
In this paper we are interested in proving that the infinitesimal variations of Hodge structure of hypersurfaces of high enough degree lie in a proper subvariety of the variety of…