Generalization of the theory of mixed Hodge structures and its application

2011/05/04 by Morita, Kazuma
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1105.0848

Abstract

In this paper, we shall generalize the theory of mixed Hodge structures due to Deligne and obtain a subcategory GMHS in the category of mixed Hodge structures such that we have Ext_GMHS²(Q,-)\not=0 in general.

Related

• Mixed Hodge Structures
• Mixed Hodge Complexes on Algebraic Varieties
• Niveaux de R-scindement de structures de Hodge mixtes
• Structures de Hodge mixtes et fibrés sur le plan projectif complexe
• Mixed Hodge formality