Unbounded negativity on rational surfaces in positive characteristic
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK(2022)
摘要
We give explicit blowups of the projective plane in positive characteristic that contain smooth rational curves of arbitrarily negative self-intersection, showing that the Bounded Negativity Conjecture fails even for rational surfaces in positive characteristic. As a consequence, we show that any surface in positive characteristic admits a birational model failing the Bounded Negativity Conjecture.
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关键词
unbounded negativity,rational surfaces,positive characteristic
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