Brauer groups and Picard groups of affinoid p-adic spaces (Ref: 4342-6)

在这个项目中，Mark Heavy打算研究p-adic局部域上的仿射p-adic曲线和仿射p-adic空间的算法。他特别打算研究皮卡德和布劳尔集团的这些空间，并确定其结构的群体。马克还将调查，在案件的p进仿射曲线，可能存在的pefect配对之间的皮卡德和布劳尔组，并证明布劳尔组在这种情况下是有限的。

In this project Mark Heavy intends to study the arithmetic of affinoid p-adic curves and affinoid p-adic spaces, in general, over p-adic local fields. He in particular intendes to study the Picard and Brauer groups of these spaces and determine their structure as groups. Mark will also investigate, in the case of p-adic affinoid curves, the possibility of the existence of a pefect pairing bewteen the Picard and the Brauer group and prove that the Brauer group in this case is finite.