AI 中文总结
研究纤维曲面中奇异纤维分类，利用温和情形下纤维化与可表示态射的关系及根叠层赋值判别准则构建框架，为多基切瑟的分类提供独立依据。
AI 中文摘要
我们通过利用这样一个事实来开发一种对光滑纤维曲面中奇异纤维进行分类的策略：在温和情形下，亏格\(g>1\)的具有光滑一般纤维的纤维化对应于从一个叠层基到\(\overline{\mathcal{M}}_g\)的可表示态射，这得益于温和叠层恰当性的根叠层赋值判别准则。该框架为多基切瑟的约化类型分类提供了另一种依据，独立于温特斯的抽象结果。
英文摘要
We develop a strategy for the classification of singular fibers in smooth fibered surfaces by exploiting the fact that, in the tame case, a fibration with smooth general fiber of genus $g > 1$ corresponds to a representable morphism from a stacky base to $\overline{\mathcal{M}}_g$ thanks to the root stack valuative criterion for properness of tame stacks. This framework serves as another justification of Dokchitser's classification of reduction types independently of Winters' abstract result.
Comments48 pages, comments welcome
