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math.NT2007
Curves of given -rank with trivial automorphism group
Jeff Achter, Darren Glass, Rachel Pries
Let be an algebraically closed field of characteristic . Suppose and . We prove there is a smooth projective -curve of genus and -ra…
math.NT2007★ 8 cited
Monodromy of the p-rank strata of the moduli space of curves
Jeff Achter, Rachel Pries
We compute the Z/\ell and \ell-adic monodromy of every irreducible component of the moduli space M_g^f of curves of genus and and p-rank f. In particular, we prove that the Z/\ell-…