The main component of a reducible Hilbert curve of conic fibrations
J. Korean Math. Soc. 2021 Vol. 58, No. 5, 1211-1226
https://doi.org/10.4134/JKMS.j200534
Published online July 28, 2021
Printed September 1, 2021
Maria Lucia Fania, Antonio Lanteri
DISIM, Universit\`a degli Studi dell'Aquila; Universit\`a degli Studi di Milano
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 $\mathbb Q$-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.
Keywords : Conic fibration, scroll, Hilbert curve
MSC numbers : Primary 14C20, 14N30; Secondary 14J30, 14M99
Supported by : The first author is supported by PRIN 2017SSNZAW. Both authors are members of INdAM-GNSAGA.
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