Lisa Berger

most citedExplicit arithmetic of Jacobians of generalized Legendre curves over global function fields

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.NT2015★ 2 cited

Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields

Lisa Berger, Chris Hall, René Pannekoek +5

We study the Jacobian $J$ of the smooth projective curve $C$ of genus $r - 1$ with affine model $y^{r} = x^{r - 1} (x + 1) (x + t)$ over the function field $F_{p} (t)$ , when $p$ is p…

math.NT2011

Elliptic curves with bounded ranks in function field towers

Lisa Berger

Let $k$ denote an algebraically closed field. We revisit a construction of the author of families of elliptic curves over the rational function field $k (t)$ . Combining a combinator…