English

Counting Multisections in Conic Bundles over a Curve defined over F_q

Number Theory 2008-09-08 v1 Algebraic Geometry

Abstract

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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Cite

@article{arxiv.0809.0954,
  title  = {Counting Multisections in Conic Bundles over a Curve defined over F_q},
  author = {Seyfi Turkelli},
  journal= {arXiv preprint arXiv:0809.0954},
  year   = {2008}
}

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13 pages