Ramification of Tate modules for rank $2$ Drinfeld modules

Takuya Asayama; Maozhou Huang

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arXiv · 2204.13275

Ramification of Tate modules for rank $2$ Drinfeld modules

Takuya Asayama·Maozhou Huang

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Abstract

In this paper, we study the ramification of extensions of a function field generated by division points of rank 2 Drinfeld modules. Also conductors of certain rank 2 Drinfeld modules are defined as analogues of those for elliptic curves. A calculation of these conductors allows us to show an analogue of Szpiro's conjecture under a certain limited situation.

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Takuya Asayama, Maozhou Huang. 2022-04-28. Ramification of Tate modules for rank $2$ Drinfeld modules. https://arxiv.org/abs/2204.13275

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