On the arithmetic of one del Pezzo surface over the field with three elements
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Publication:4643343
zbMATH Open1390.14184arXiv1409.7856MaRDI QIDQ4643343
Publication date: 24 May 2018
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.
Full work available at URL: https://arxiv.org/abs/1409.7856
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