Counting curves over finite fields
Algebraic Geometry
2014-09-23 v1
Abstract
This is a survey on recent results on counting of curves over finite fields. It reviews various results on the maximum number of points on a curve of genus g over a finite field of cardinality q, but the main emphasis is on results on the Euler characteristic of the cohomology of local systems on moduli spaces of curves of low genus and its implications for modular forms.
Keywords
Cite
@article{arxiv.1409.6090,
title = {Counting curves over finite fields},
author = {Gerard van der Geer},
journal= {arXiv preprint arXiv:1409.6090},
year = {2014}
}
Comments
25 pages, to appear in Finite Fields and their Applications