Data di Pubblicazione:
2006
Citazione:
The Hilbert Scheme of degree two curves and certain ropes / U. Nagel, R. Notari, M.L. Spreafico. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 17:7(2006), pp. 835-867. [10.1142/S0129167X06003692]
Abstract:
We study families of ropes of any codimension that are supported on lines. We construct suitable smooth parameter spaces and conclude that all ropes of fixed degree and genus are in the same component of the Hilbert scheme. We show that this component is generically smooth if the genus is small enough unless the characteristic of the ground field is two and the curvea have degree two. In this case the component is not reduced.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Ropes on lines; Hilbert schemes
Elenco autori:
U. Nagel, R. Notari, M.L. Spreafico
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