论文标题
在P-Adic几何形状中的某些矢量束扩展
On certain extensions of vector bundles in p-adic geometry
论文作者
论文摘要
鉴于在Fargues-Fontaine曲线上有两个任意的向量捆绑包,我们就较难的纳拉西姆汉(Narasimhan)多边形表示了明确的标准,即他们是否意识到可半固定的向量束作为扩展。我们的论点在很大程度上是组合的,并建立在[BFH+22]中开发的捆绑图的某些模量空间的维度分析上。
Given two arbitrary vector bundles on the Fargues-Fontaine curve, we give an explicit criterion in terms of Harder-Narasimhan polygons on whether they realize a semistable vector bundle as their extensions. Our argument is largely combinatorial and builds upon the dimension analysis of certain moduli spaces of bundle maps developed in [BFH+22].