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- Title
THE HILBERT SCHEME OF DEGREE TWO CURVES AND CERTAIN ROPES.
- Authors
NAGEL, UWE; NOTARI, ROBERTO; SPREAFICO, MARIA LUISA
- 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 lie in the same component of the corresponding 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 curves under consideration have degree two. In this case the component is non-reduced.
- Subjects
HILBERT schemes; SCHEMES (Algebraic geometry); CURVES; FREE resolutions (Algebra); ARITHMETIC; MATHEMATICS
- Publication
International Journal of Mathematics, 2006, Vol 17, Issue 7, p835
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X06003692