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math.NT2008
Non-simple abelian varieties in a family: geometric and analytic approaches
J. Ellenberg, C. Elsholtz, C. Hall +1
Let be a family of abelian varieties over a number field parametrized by a rational coordinate , and suppose the generic fiber of is geometrically simple. For ex…
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…