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Extensions of mixed Hodge modules and Picard-Fuchs equations
Published 7 Aug 2018 in math.AG | (1808.02549v1)
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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