On base change of the fundamental group scheme
Axel Stäbler
| Number | 21 |
|---|---|
| Author | Axel Stäbler |
| Year | 2012 |
We provide for all prime numbers p examples of smooth projective curves over a field of characteristic p for which base change of the fundamental group scheme fails. This is intimately related to how F-trivial vector bundles, i.e. bundles trivialized by a power of the Frobenius morphism, behave in (trivial) families. We conclude with a study of the behavior of F-triviality in (not necessarily trivial) families.
