## Duke Mathematical Journal

### On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

#### 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.

#### Article information

Source
Duke Math. J. Volume 166, Number 12 (2017), 2183-2336.

Dates
Revised: 3 November 2016
First available in Project Euclid: 9 June 2017

https://projecteuclid.org/euclid.dmj/1496995226

Digital Object Identifier
doi:10.1215/00127094-2017-0003

#### Citation

Rapoport, M.; Smithling, B.; Zhang, W. On the arithmetic transfer conjecture for exotic smooth formal moduli spaces. Duke Math. J. 166 (2017), no. 12, 2183--2336. doi:10.1215/00127094-2017-0003. https://projecteuclid.org/euclid.dmj/1496995226.

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