Data di Pubblicazione:
2018
Citazione:
Hilbert curves of quadric fibrations / A. Lanteri. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 29:10(2018 Oct). [10.1142/S0129167X18500672]
Abstract:
Let (X,L) be a quadric fibration over a smooth curve.
The explicit equation of the corresponding Hilbert curve \Gamma is obtained.
The geometry of \Gamma reflects some structure properties of (X,L); in particular,
its special shape allows us to recognize that (X,L) is a quadric fibration. In fact \Gamma
is reducible into \dim X -2 parallel lines with prescribed slope, evenly spaced,
plus a conic. On the other hand, this conic can itself be regarded
as the Hilbert curve of a polarized surface only in very rare circumstances.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Polarized manifold; Hilberty curve; quadric fibration; projective bundle
Elenco autori:
A. Lanteri
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