J. Laga

collaborators

4 papers

math.AG2025

Polarizations, torsors and theta groups

Jef Laga

Let $λ : A \to A^{\lor}$ be a polarization on an abelian variety over a field $k$ . If $k$ is not algebraically closed, there might not exist an ample line bundle on $A$ …

math.NT2025

Families of curves in Vinberg representations

Jef Laga, Beth Romano

Inspired by orbit parametrizations in arithmetic statistics, we explain how to construct families of curves associated to certain nilpotent elements in $Z / m Z$ -gra…

math.NT2025

Lower bounds on heights of odd degree points of hyperelliptic curves

Jef Laga, Jack A. Thorne

We develop a reduction theory for the representation of $SL_{n}$ on pairs of symmetric $n \times n$ matrices. We apply this theory to the pencils of quadrics arising from div…

math.NT2025

Kummers, spinors, and heights

Jef Laga, Jack A. Thorne

Let $f (x) = x^{2 g + 1} + c_{1} x^{2 g} + \dots + c_{2 g + 1} \in k [x]$ be a polynomial of nonzero discriminant, and let $J$ denote the Jacobian of the odd hyperelliptic curve $C : y^2 = f(…