Counting Multisections in Conic Bundles over a Curve defined over F_q

Details Counting Multisections in Conic Bundles over a Curve defined over F_q Counting Multisections in Conic Bundles over a Curve defined over F_q

2008-09-05

arxiv.org/abs/0809.0954v1

Mathematics

Number Theory

13 pages

Scientific paper

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 algebraic numbers of degree d and height e over the
function field F_q (C).

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