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arXiv · 2309.17256

The refined class number formula for Drinfeld modules

María Inés de Frutos-Fernández·Daniel Macias Castillo·Daniel Martínez Marqués
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Abstract

Let $K/k$ be a finite Galois extension of global function fields. Let $E$ be a Drinfeld module over $k$. We state and prove an equivariant refinement of Taelman's analogue of the analytic class number formula for $(E,K/k)$, and derive explicit consequences for the Galois structure of the Taelman class group of $E$ over $K$.

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María Inés de Frutos-Fernández, Daniel Macias Castillo, Daniel Martínez Marqués. 2023-09-29. The refined class number formula for Drinfeld modules. https://arxiv.org/abs/2309.17256

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