We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Subvarieties of quotients of bounded symmetric domains.
- Authors
Cadorel, Benoît
- Abstract
We present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p ≥ 1 , this criterion gives a precise condition under which the subvarieties V ⊂ X with dim V ≥ p are of general type, and X is p-measure hyperbolic. Then, we give several applications related to ball quotients, or to the Siegel moduli space of principally polarized abelian varieties. In the case of smooth compactifications of ball quotients, we obtain a conditional upper bound on the dimension on the exceptional locus, assuming the Green–Griffiths–Lang conjecture holds true. As another example of application, we give effective lower bounds for levels l so that the moduli spaces of genus g curves with l-level structures are of general type.
- Subjects
SYMMETRIC domains; ABELIAN varieties
- Publication
Mathematische Annalen, 2022, Vol 384, Issue 1/2, p1
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-021-02295-3