标题： 到布雷尔-塞弗里代数簇的态射，及其在德尔珀索曲面中的应用 显示英文标题

标题： Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo Surfaces

摘要： 我们分类从紧致代数簇到Brauer-Severi代数簇的态射，这推广了到射影空间的态射与全局生成可逆层之间的经典对应关系。 作为应用，我们研究高次数的del Pezzo曲面，以Brauer-Severi代数簇为视角，并恢复关于有理点、哈塞原理和弱逼近的经典结果。 显示英文摘要

摘要： We classify morphisms from proper varieties to Brauer-Severi varieties, which generalizes the classical correspondence between morphisms to projective space and globally generated invertible sheaves. As an application, we study del Pezzo surfaces of large degree with a view towards Brauer-Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.