Foliations and Galois theory in positive characteristic

Open Access
Authors
Supervisors
Cosupervisors
Award date 27-02-2025
Number of pages 189
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
Abstract The thesis is about power towers. A power tower is an object analogous to a foliation, but in positive characteristic. They generalise fibrations. They include purely inseparable morphisms. The thesis develops a Galois-type correspondence for power towers. This gives a useful framework for working with purely inseparable morphisms. In particular, it includes a formula for a pullback of a canonical divisor with respect to any such morphism.
Document type PhD thesis
Language English
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