Tommy Occhipinti

activity

20132015

most citedWhich finite simple groups are unit groups?

12 citations · 13 across the 3 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.NT2014★ 1 cited

Explicit points on $y^{2} + x y - t^{d} y = x^{3}$ and related character sums

Christopher Davis, Tommy Occhipinti

Let $F_{q}$ denote a finite field of characteristic $p \geq 5$ and let $d = q + 1$ . Let $E_{d}$ denote the elliptic curve over the function field $F_{q^{2}} (t)$ defined b…

math.RA2014★ 12 cited

Which finite simple groups are unit groups?

Christopher Davis, Tommy Occhipinti

We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $…

Low-dimensional factors of superelliptic Jacobians

Explicit points on y2+xy−tdy=x3 and related character sums

Which finite simple groups are unit groups?

Explicit points on $y^{2} + x y - t^{d} y = x^{3}$ and related character sums