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arXiv · 1409.7856

On the arithmetic of one del Pezzo surface over the field with three elements

Nikita Kozin·Deepak Majeti
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Abstract

We discuss the problem of existence of rational curves on a certain del Pezzo surface from a computational point of view and suggest a computer algorithm implementing search. In particular, our computations reveal that the surface contains 920 rational curves with parametrizations of degree 8 and does not contain rational curves for a smaller degree.

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Nikita Kozin, Deepak Majeti. 2014-09-28. On the arithmetic of one del Pezzo surface over the field with three elements. https://arxiv.org/abs/1409.7856

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