Abstract
We prove a relative GAGA principle for families of curves, showing: (i) analytic families of pointed curves whose fibres have finite automorphism groups are algebraizable; and (ii) analytic birational models of \mathcal {M}-{g,n} possessing modular interpretations with the finite automorphism property are algebraizable. This is accomplished by extending some well-known GAGA results for proper schemes to non-separated Deligne-Mumford stacks.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 29-48 |
| Number of pages | 20 |
| Journal | Journal of the London Mathematical Society |
| Volume | 90 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 2014 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics