Fibration by non-smooth projective curves of arithmetic genus two in characteristic two
arXiv:1412.8734 · doi:10.1016/j.jpaa.2016.02.014
Abstract
Looking in positive characteristic for failures of the Bertini-Sard theorem, we determine, up to birational equivalence, the separable proper morphisms of smooth algebraic varieties in characteristic two, whose fibres are non-smooth curves of arithmetic genus two.