论文标题
真正的半稳定变性,实现的爆破和伸直角
Real semi-stable degenerations, real-oriented blow-ups and straightening corners
论文作者
论文摘要
我们研究完全真实的半稳定变性(更普遍地,平滑的半稳定变性)。我们的目标是描述真实基因座的同态类型$ \ mathbf {r} x_t $在特殊纤维方面。我们通过家庭对家族的爆炸发表一般的同态态度声明。使用此功能,我们提供了$ \ mathbf {r} x_t $的更多明确描述,作为特殊光纤层(封面)胶合的分层空间。我们还提供了陈述的相对版本,并考虑了感谢您的旋转变性的示例,以将技术与热带化联系联系起来。
We study totally real semi-stable degenerations (and more generally, smooth semi-stable degenerations). Our goal is to describe the homeomorphism type of the real locus $\mathbf{R} X_t$ of the general fibre in terms of the special fibre. We give a general homeomorphism statement via the real-oriented blow-up of the family. Using this, we give more explicit descriptions of $\mathbf{R} X_t$ as a stratified space glued from (covers of) strata of the special fibre. We also give relative versions of the statements and consider the example of toric degenerations in order to link the technique to tropicalisation.