Year: 2011
Type: preprint
Abstract: We establish an aysmptotic formula for the number of points with coordinates in $\mb{F}_q[t]$ on a complete intersection of degree $d$ defined over $\mb{F}_q[t]$, with explicit error term, provided that the characteristic of $\mb{F}_q$ is greater than $d$, the codimension of the singular locus of the complete intersection is large enough, and this intersection has a non-singular point at each place of $\mb{F}_q[t]$. In particular, when this complete intersection is non-singular, we show that it satisfies weak approximation.
Source: arXiv (Cornell University)
Author: Lee, Siu-lun Alan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W184446283