Abstract
We construct the minimal compactification of some modular Siegel varieties at their bad reduction places. These varieties parametrize principally polarized abelian schemes endowed with a parahoric level structure at a prime number p and with an auxiliary level structure; such varieties have bad reduction at p. We also sketch an arithmetic theory of the associated Siegel modular forms.
| Translated title of the contribution | Minimal compactification and bad reduction |
|---|---|
| Original language | French |
| Pages (from-to) | 1035-1055 |
| Number of pages | 21 |
| Journal | Annales de l'Institut Fourier |
| Volume | 60 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
| Externally published | Yes |