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arXiv · 1709.01835

Godeaux-Serre Varieties with Prescribed Arithmetic Fundamental Group

Nithi Rungtanapirom
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Abstract

We show that for any given field $k$ and natural number $r\geq2$, every continuous extension of the absolute Galois group $\mathrm{Gal}_k$ by a finite group is the arithmetic fundamental group of a geometrically connected smooth projective variety over $k$ of dimension $r$.

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Nithi Rungtanapirom. 2017-09-06. Godeaux-Serre Varieties with Prescribed Arithmetic Fundamental Group. https://doi.org/10.1016/j.jpaa.2017.12.010

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