A new theta cycle for $GSp_4$ and an Edixhoven type theorem

Takuya Yamauchi

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arXiv · 2203.06325

A new theta cycle for $GSp_4$ and an Edixhoven type theorem

Takuya Yamauchi

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Abstract

In this paper, we investigate a new theta cycle for $GSp_4/\mathbb{Q}$ by using author's theta operators defined in the previous work. In the course of the construction, we also modify the theta operators so that they work in any characteristic, including $p = 2$, and for any weight. As an application, we discuss an Edixhoven type theorem for $GSp_4/\mathbb{Q}$.

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Takuya Yamauchi. 2022-03-12. A new theta cycle for $GSp_4$ and an Edixhoven type theorem. https://arxiv.org/abs/2203.06325

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