Douglas Ulmer

activity

20012026

most citedGeometric non-vanishing

15 citations · 57 across the 25 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.AG2014

Low-dimensional factors of superelliptic Jacobians

Thomas Occhipinti, Douglas Ulmer

Given a polynomial $f \in C [x]$ , we consider the family of superelliptic curves $y^{d} = f (x)$ and their Jacobians $J_{d}$ for varying integers $d$ . We show that for any integer $…

math.AG2014

Rational curves on elliptic surfaces

Douglas Ulmer

We prove that a very general elliptic surface $E \to P^{1}$ over the complex numbers with a section and with geometric genus $p_{g} \geq 2$ contains no rational curves ot…

math.NT2014★ 1 cited

Explicit points on the Legendre curve III

Douglas Ulmer

We continue our study of the Legendre elliptic curve $y^{2} = x (x + 1) (x + t)$ over function fields $K_{d} = F_{p} (μ_{d}, t^{1/ d})$ . When $d = p^{f} + 1$ , we have previously exhibited explicit p…