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arXiv · 2507.01395

More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case

Yu Luo·Michael Rapoport·Wei Zhang
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Abstract

For unitary groups associated to a ramified quadratic extension of a $p$-adic field, we define various regular formal moduli spaces of $p$-divisible groups with parahoric levels, characterize exceptional special divisors on them, and construct correspondences between them. We formulate arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture in this context. We prove the conjectures in the lowest dimensional cases.

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Yu Luo, Michael Rapoport, Wei Zhang. 2025-07-02. More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case. https://arxiv.org/abs/2507.01395

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