Let f: (X, D)→B be a stable family with log canonical general fiber. We prove that, after a birational modification of the base B → B, there is a morphism from a high fibered power of the family to a pair of log general type. If in addition the general fiber is openly canonical, then there is a morphism from a high fibered power of the original family to a pair openly of log general type.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Log general type
- Moduli of stable pairs