Extensions of mixed Hodge modules and Picard-Fuchs equations

2018/08/07 by R., Pedro Luis del Ángel, C, José Jaime Hernández
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.02549

Abstract

The normal function associated to algebraic cycles in higher Chow groups defines a differential equation. This Picard-Fuchs equation defines an extension of D-modules as well as an extension of local systems. In this paper, we show that both extensions define the same extension of mixed Hodge modules determined by the normal function.

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