论文标题
8度的毫无意义的Del Pezzo表面的异性分类
Birational classification of pointless del Pezzo surfaces of degree 8
论文作者
论文摘要
让K成为一个完美的领域。最近J.-L。 Colliot-thélène表明，当k上的两个毫无意义的二次表面在且仅当它们是同构时才等效。我们表明，此结果适用于$ 8 $的任意del pezzo表面，Picard数字为$ 1 $，并描述了最小的表面。
Let k be a perfect field. Recently J.-L. Colliot-Thélène showed that two pointless quadric surfaces over k are birationally equivalent if and only if they are isomorphic. We show that this result holds for arbitrary del Pezzo surfaces of degree $8$ with the Picard number $1$, and describe minimal surfaces birationally equivalent to a given pointless del Pezzo surface of degree $8$.
