The study of reducible Hilbert curves of conic fibrations over a smooth surface is carried on in this paper and the question of when the main component is itself the Hilbert curve of some Q-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.
The main component of a reducible Hilbert curve of conic fibrations / M.L. Fania, A. Lanteri. - In: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. - ISSN 0304-9914. - 58:5(2021 Sep 01), pp. 1211-1226. [10.4134/JKMS.j200534]
The main component of a reducible Hilbert curve of conic fibrations
A. LanteriUltimo
2021
Abstract
The study of reducible Hilbert curves of conic fibrations over a smooth surface is carried on in this paper and the question of when the main component is itself the Hilbert curve of some Q-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.
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