Data di Pubblicazione:
2017
Citazione:
Irreducible components of Hilbert schemes of rational curves with given normal bundle / A. Alzati, R. Re. - In: ALGEBRAIC GEOMETRY. - ISSN 2214-2584. - 4:1(2017), pp. 79-103.
Abstract:
We develop a new general method for computing the decomposition type of the normal bundle to a projective rational curve. This method is then used to detect and explain an example of a reducible Hilbert scheme parametrizing all the rational curves in P^s with a given decomposition type of the normal bundle. We also characterize smooth non degenerate rational curves contained in rational normal scrolls in terms of the splitting type of their restricted tangent bundles and compute their normal bundles.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
rational curve; normal bundle; Hilbert scheme
Elenco autori:
A. Alzati, R. Re
Link alla scheda completa:
Link al Full Text: