论文标题
光滑的投影表面中的圆柱体的注释
Notes on cylinders in smooth projective surfaces
论文作者
论文摘要
在本文中,我们确定了在完美场上平滑最小的几何理性表面中圆柱体的现有状况。此外,我们表明,对于光滑的投影表面之间的任何异性图,一个在且仅当一个时才包含一个圆柱体。
In this article, we determine the existing condition of cylinders in smooth minimal geometrically rational surfaces over a perfect field. Furthermore, we show that for any birational map between smooth projective surfaces, one contains a cylinder if and only if so does the other.