The mod 2 monodromy of the Dwork family is classified, with symmetric group images when the dimension is a power of two, yielding automorphy of rank-4 symplectic Galois representations over totally real fields.
Barnet-Lamb, D
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations
The mod 2 monodromy of the Dwork family is classified, with symmetric group images when the dimension is a power of two, yielding automorphy of rank-4 symplectic Galois representations over totally real fields.