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arXiv · 1808.02549

Extensions of mixed Hodge modules and Picard-Fuchs equations

Pedro Luis del Ángel R.·José Jaime Hernández C
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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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Pedro Luis del Ángel R., José Jaime Hernández C. 2018-08-07. Extensions of mixed Hodge modules and Picard-Fuchs equations. https://arxiv.org/abs/1808.02549

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