Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potentially Good Reduction of Barsotti-Tate Groups   Let R be a complete discrete valuation ring of mixed characteristic (0, p)
with perfect residue field, K the fraction field of R. Suppose G is a
Barsotti-Tate group (p-divisible group) defined over K which acquires good
reduction over a finite extension K' of K. We prove that there exists a
constant c which depends on the absolute ramification index e(K'/Q_p) and the
height of G such that G has good reduction over K if and only if G[p^c] can be
extended to a finite flat group scheme over R. For abelian varieties with
potentially good reduction, this result generalizes Grothendieck's p-adic
Neron-Ogg-Shafarevich criterion to finite level. We use methods that can be
generalized to study semi-stable p-adic Galois representations with general
Hodge-Tate weights, and in particular leads to a proof of a conjecture of
Fontaine and gives a constant c as above that is independent of the height of
G.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci