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math.NT2008★ 5 cited
Connected Components of Hurwitz Schemes and Malle's Conjecture
Seyfi Turkelli
Let Z(X) be the number of degree-d extensions of F_q(t) with bounded discriminant and some specified Galois group. The problem of computing Z(X) can be related to a problem of coun…
math.NT2008
Counting Multisections in Conic Bundles over a Curve defined over F_q
Seyfi Turkelli
For a given conic bundle X over a curve C defined over F_q, we count irreducible branch covers of C in X of degree d and height e>>1. As a special case, we get the number of algebr…