Non-genericity of variations of Hodge structure for hypersurfaces of high degree

2005/03/17 by Emmanuel Allaud, Allaud, Emmanuel
Computer Science · Engineering · Mathematics · #14D07 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14D07

paper · pdf · doi:10.48550/arxiv.math/0503346

Accepted for publication by the Duke Mathematical Journal

arxiv created 2005/03/17 · openalex publication_date 2005/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 all infinitesimal variations. This is proved using a space of symmetrizers as defined by Donagi, to identify a geometric structure carried by the variety of all infinitesimal variations of Hodge structure.

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