2018 Theses Doctoral
Dominating varieties by liftable ones
Algebraic geometry in positive characteristic has a quite different flavour than in characteristic zero. Many of the pathologies disappear when a variety admits a lift to characteristic zero. It is known since the sixties that such a lift does not always exist. However, for applications it is sometimes enough to lift a variety dominating the given variety, and it is natural to ask when this is possible.
The main result of this dissertation is the construction of a smooth projective variety over any algebraically closed field of positive characteristic that cannot be dominated by another smooth projective variety admitting a lift to characteristic zero. We also discuss some cases in which a dominating liftable variety does exist.
- vanDobbendeBruyn_columbia_0054D_14544.pdf application/pdf 823 KB Download File
More About This Work
- Academic Units
- Thesis Advisors
- de Jong, Aise Johan
- Ph.D., Columbia University
- Published Here
- April 13, 2018