Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic
نویسنده
چکیده
We give counterexamples to the Kawamata-Viehweg vanishing theorem on ruled surfaces in positive characteristic, and prove that if there is a counterexample to the Kawamata-Viehweg vanishing theorem on a geometrically ruled surface f : X → C, then either C is a Tango curve or all of sections of f are ample.
منابع مشابه
Counterexamples of the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic
We give a classification of the counterexamples of the Kawamata-Viehweg vanishing on a geometrically ruled surface in terms of the Tango invariant of the base curve.
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