Simultaneous semi-stable reduction for curves with ADE singularities (Q2838065)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Simultaneous semi-stable reduction for curves with ADE singularities |
scientific article; zbMATH DE number 6185148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simultaneous semi-stable reduction for curves with ADE singularities |
scientific article; zbMATH DE number 6185148 |
Statements
Simultaneous semi-stable reduction for curves with ADE singularities (English)
0 references
8 July 2013
0 references
ADE-singularities
0 references
moduli spaces of curves
0 references
simultaneous resolution
0 references
0 references
0 references
0 references
The main result of the paper is an explicit construction of an étale local resolution of the rational moduli map \(B\dashrightarrow \overline {M}_g\) for a family of curves \(X\to B\) with ADE-singularities of genus \(g\geq 2\). The approach is similar to \textit{E. Brieskorn}'s simultaneous resolution of singularities for families of surfaces with ADE-singularities [Actes Congr. internat. Math. 1970, 2, 279--284 (1971; Zbl 0223.22012)].
0 references
