9 citations · 17 across the 11 of their papers we have counts for
14 papers
Distinguishing Gauss sums
Moshe Adrian, Jack Diamond, Kenneth Kramer +1
Let $\F_q$ be the field of order for prime . If is the Gauss sum attached to a multiplicative character on $\F_q^\times$, then . We investiga…
Fields with no everywhere good abelian varieties
Armand Brumer, Kenneth Kramer
We extend methods of Fontaine, Abrashkin and Schoof to obtain criteria determining number fields K over which no non-zero abelian variety with everywhere good reduction exists. As…
Prosaic Abelian Varieties Bad at One Prime
Armand Brumer, Kenneth Kramer
We say that an abelian variety of dimension is {\em prosaic} if it is semistable, with good reduction at 2 and its points of order generate a -extension…
Hyperelliptic -curves of prime conductor
Armand Brumer, Kenneth Kramer
An abelian threefold of prime conductor is favorable if its 2-division field is an -extension over with ramification index…
Large 2-adic Galois image and non-existence of certain abelian surfaces over Q
Armand Brumer, Kenneth Kramer
Motivated by our arithmetic applications, we required some tools that might be of independent interest. Let be an absolutely irreducible group scheme of rank ove…
Certain Abelian varieties bad at only one prime
Armand Brumer, Kenneth Kramer
An abelian surface of prime conductor is favorable if its 2-division field is an -extension with ramification index 5 over ${\mathbb Q}_2…