1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2026
Reduction Types of Genus 2 Curves
Edwina Aylward, Lilybelle Cowland Kellock, Vladimir Dokchitser +1
Tate produced a table for elliptic curves over local fields that beautifully summarises their arithmetic invariants in terms of the Kodaira type. We present an analogous set of tab…
math.NT2025★ 1 cited
Invariants recovering the reduction type of a hyperelliptic curve
Lilybelle Cowland Kellock, Elisa Lorenzo
Tate's algorithm tells us that for an elliptic curve over a local field of residue characteristic , has potentially good reduction if and only if $\text{ord}(…
math.NT2023
Root numbers and parity phenomena
Lilybelle Cowland Kellock, Vladimir Dokchitser
The parity conjecture has a long and distinguished history. It gives a way of predicting the existence of points of infinite order on elliptic curves without having to construct th…