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arXiv · 2505.04465

Siegel modular forms arising from higher Chow cycles

Shouhei Ma
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Abstract

We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (virtual) weight Sym^{4}det^{-1} with bounded singularity, and that this construction is functorial with respect to rank 1 degeneration, namely the K-theory elevator for the cycle corresponds to the Siegel operator for the modular form.

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Shouhei Ma. 2025-05-07. Siegel modular forms arising from higher Chow cycles. https://arxiv.org/abs/2505.04465

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