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arXiv · 1503.06520

On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

Michael Rapoport·Brian Smithling·Wei Zhang
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Abstract

In the relative trace formula approach to the arithmetic Gan-Gross-Prasad conjecture, we formulate a local conjecture (arithmetic transfer) in the case of an exotic smooth formal moduli space of p-divisible groups, associated to a unitary group relative to a ramified quadratic extension of a p-adic field. We prove our conjecture in the case of a unitary group in three variables.

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Michael Rapoport, Brian Smithling, Wei Zhang. 2015-03-23. On the arithmetic transfer conjecture for exotic smooth formal moduli spaces. https://doi.org/10.1215/00127094-2017-0003

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