13 citations · 133 across the 34 of their papers we have counts for
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math.NT2015★ 13 cited
Local Galois representations of Swan conductor one
Naoki Imai, Takahiro Tsushima
We construct the local Galois representations over the complex field whose Swan conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over finite f…
math.NT2015★ 1 cited
The remaining cases of the Kramer-Tunnell conjecture
Kestutis Cesnavicius, Naoki Imai
For an elliptic curve over a local field and a separable quadratic extension of , motivated by connections to the Birch and Swinnerton-Dyer conjecture, Kramer and Tunnel…
math.NT2015
Local root numbers of elliptic curves over dyadic fields
Naoki Imai
We consider an elliptic curve over a dyadic field with additive, potentially good reduction. We study the finite Galois extension of the dyadic field generated by the three-torsion…