Chris Hall

activity

20062026

most citedAn open image theorem for a general class of abelian varieties

49 citations · 127 across the 18 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.NT2008

Non-simple abelian varieties in a family: geometric and analytic approaches

J. Ellenberg, C. Elsholtz, C. Hall +1

Let $A_{t}$ be a family of abelian varieties over a number field $k$ parametrized by a rational coordinate $t$ , and suppose the generic fiber of $A_{t}$ is geometrically simple. For ex…

math.NT2008★ 49 cited

An open image theorem for a general class of abelian varieties

Chris Hall

Let K be a number field and A/K be a polarized abelian variety with absolutely trivial endomorphism ring. We show that if the Neron model of A/K has at least one fiber with potenti…

math.GR2008

Monodromy Groups of Hurwitz-type Problems

Daniel Allcock, Chris Hall

We solve the Hurwitz monodromy problem for degree-4 covers. That is, the Hurwitz space H_{4,g} of all simply branched covers of P^1 of degree 4 and genus g is an unramified cover o…