Scholze的diamond范畴的特化映射
Specialization maps for Scholze's category of diamonds
AI总结：
本文在Scholze的diamond理论中引入特化映射，提出类似形式概型的v-层kimberlite并为其构建多种位点，证明了特定Grassmannian是具有有限性与正规性的kimberlite。
摘要：
我们在Scholze的diamond理论中引入特化映射。我们考虑行为类似形式概型的v-层，并称其为kimberlite。我们为其附加：约化特殊纤维、解析轨迹、特化映射、Zariski位点和etale位点。当kimberlite源自形式概型时，我们的位点恢复了经典的位点。我们证明非分歧p-adic Beilinson--Drinfeld Grassmannian是具有有限性与正规性性质的kimberlite。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
