Godeaux-Serre Varieties with Prescribed Arithmetic Fundamental Group
Algebraic Geometry
2019-10-22 v1 Number Theory
Abstract
We show that for any given field and natural number , every continuous extension of the absolute Galois group by a finite group is the arithmetic fundamental group of a geometrically connected smooth projective variety over of dimension .
Keywords
Cite
@article{arxiv.1709.01835,
title = {Godeaux-Serre Varieties with Prescribed Arithmetic Fundamental Group},
author = {Nithi Rungtanapirom},
journal= {arXiv preprint arXiv:1709.01835},
year = {2019}
}
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7 pages