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Lifting negative curves from finite fields and Seshadri constants at ten points

Pokora, Piotr et al.
arXiv (All) · Papers
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algebraic-geometry
We use finite-field calculations and mixed-characteristic deformation to construct nef divisors on very general complex blow-ups of the plane. A lifting and smoothing criterion converts a reducible nodal divisor over $\mathbb{F}_{127}$ into a smooth genus-$10$ curve of class $117H-37(E_1+\cdots+E_{1
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