A Hermite-Minkowski type theorem of varieties over finite fields
Number Theory
2016-12-12 v3
Abstract
As an application of P. Delgine's theorem (Esnault and Kerz in Acta Math. Vietnam. 37:531-562, 2012) on a finiteness of -adic sheaves on a variety over a finite field, we show the finiteness of \'etale coverings of such a variety with given degree whose ramification bounded along an effective Cartier divisor. This can be thought of a higher dimensional analogue of the classical Hermite-Minkowski theorem.
Keywords
Cite
@article{arxiv.1512.02348,
title = {A Hermite-Minkowski type theorem of varieties over finite fields},
author = {Toshiro Hiranouchi},
journal= {arXiv preprint arXiv:1512.02348},
year = {2016}
}