Regular formal moduli spaces and arithmetic transfer conjectures
Number Theory
2017-01-16 v2 Algebraic Geometry
Representation Theory
Abstract
We define various formal moduli spaces of p-divisible groups which are regular, and morphisms between them. We formulate arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture of the third author in the presence of ramification. These conjectures include the AT conjecture of our previous joint paper. We prove these conjectures in low-dimensional cases.
Cite
@article{arxiv.1604.02419,
title = {Regular formal moduli spaces and arithmetic transfer conjectures},
author = {Michael Rapoport and Brian Smithling and Wei Zhang},
journal= {arXiv preprint arXiv:1604.02419},
year = {2017}
}
Comments
Minor revisions and corrections, the most notable of which is a correction to Lemma 14.7(iv), which results in a new factor of 2 appearing in Conjectures 4.1(a) and 10.4(a). 70 pages