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arXiv · 1810.05184

A virtually ample field that is not ample

Padmavathi Srinivasan
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Abstract

A field $K$ is called ample if for every geometrically integral $K$-variety $V$ with a smooth $K$-point, $V(K)$ is Zariski-dense in $V$. A field $K$ is virtually ample if some finite extension of $K$ is ample. We prove that there exists a virtually ample field that is not ample.

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Padmavathi Srinivasan. 2018-10-11. A virtually ample field that is not ample. https://doi.org/10.1007/s11856-019-1934-y

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