Genus three Ceresa cycles and limit of archimedean heights

Souvik Goswami; Irene Spelta

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arXiv · 2604.01842

Genus three Ceresa cycles and limit of archimedean heights

Souvik Goswami·Irene Spelta

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Abstract

For a one-parameter variation of biextension mixed Hodge structures, Brosnan and Pearlstein showed that the limit of the asymptotic height of the variation is given by a certain limit height of the nilpotent orbit. This limit height depends on the choice of a parameter. In the case of a variation of geometric origin related to Ceresa cycles associated with curves of genus three, after fixing a parameter, we show that this limit height is given by the Deligne splitting of a biextension mixed Hodge structure associated with cycles in the boundary.

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Souvik Goswami, Irene Spelta. 2026-04-02. Genus three Ceresa cycles and limit of archimedean heights. https://arxiv.org/abs/2604.01842

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