Fibration by non-smooth projective curves of arithmetic genus two in characteristic two

Published 30 Dec 2014 in math.AG | (1412.8734v1)

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.

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