Jeff Achter

activity

20012026

most citedThe distribution of class groups of function fields

49 citations · 223 across the 37 of their papers we have counts for

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Showing 2007Show all

3 papers · 1 filter

math.AG2007

Exceptional covers of surfaces

Jeff Achter

Consider a finite morphism f:X -> Y of smooth projective varieties over a finite field k. Suppose X is the vanishing locus in projective N-space of at most r forms of degree at mos…

math.NT2007

Curves of given $p$ -rank with trivial automorphism group

Jeff Achter, Darren Glass, Rachel Pries

Let $k$ be an algebraically closed field of characteristic $p > 0$ . Suppose $g \geq 3$ and $0 \leq f \leq g$ . We prove there is a smooth projective $k$ -curve of genus $g$ and $p$ -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-…

Exceptional covers of surfaces

Curves of given p-rank with trivial automorphism group

Monodromy of the p-rank strata of the moduli space of curves

Curves of given $p$ -rank with trivial automorphism group