Counterexamples to Fujita's conjecture on surfaces in positive characteristic
نویسندگان
چکیده
We present counterexamples to Fujita's conjecture in positive characteristic. More precisely, given any algebraically closed field k of characteristic p>0 and integer m, we show there exists a smooth projective surface S over admitting an ample Cartier divisor A such that the adjoint linear system |KS+mA| is not free base points.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108271