论文标题

Scholze的钻石类别的专业图

Specialization maps for Scholze's category of diamonds

论文作者

Gleason, Ian

论文摘要

我们介绍了Scholzes钻石理论中的专业图。我们认为V型套像是正式方案,并将其称为金伯利特。我们附着在它们上:减少的特殊纤维,一个分析基因座,专业图,Zariski站点和一个位点。当金伯利特来自正式计划时,我们的网站恢复了古典计划。我们证明,未受到的P-ADIC BEILINSON-DRINFELD GRSMANNIANS是具有有限性和正常性特性的金伯利特人。

We introduce the specialization map in Scholzes theory of diamonds. We consider v-sheaves that behave like formal schemes and call them kimberlites. We attach to them: a reduced special fiber, an analytic locus, a specialization map, a Zariski site, and an etale site. When the kimberlite comes from a formal scheme, our sites recover the classical ones. We prove that unramified p-adic Beilinson--Drinfeld Grassmannians are kimberlites with finiteness and normality properties.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源