## A virtually ample field that is not ample. (arXiv:1810.05184v1 [math.AG])

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.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 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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