Numerical characterization of nef arithmetic divisors on arithmetic surfaces
classification
🧮 math.AG
keywords
arithmeticcharacterizationdivisorsnumericalr-cartiertypedivisorgive
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In this paper, we give a numerical characterization of nef arithmetic R-Cartier divisors of C^0-type on an arithmetic surface. Namely an arithmetic R-Cartier divisor D of C^0-type is nef if and only if D is pseudo-effective and deg(D^2) = vol(D).
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