Douglas Ulmer

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20012026

most citedGeometric non-vanishing

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

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Showing 2014 · math.AGShow all

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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…