Counting curves over finite fields
| Authors |
|
| Publication date |
2015
|
| Journal |
Finite fields and their applications
|
| Volume | Issue number |
32
|
| Pages (from-to) |
207-232
|
| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
|
| 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.
|
| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.1016/j.ffa.2014.09.008
|
|
Permalink to this page
|
Back