We study families of scrolls containing a given rational curve and families of rational curves contained in a fixed scroll via a stratification in terms of the degree of the induced map onto P1 and we prove that there is no rational normal scroll of minimal degree and of dimension ≤ n/2 containing a general binary curve in Pn.
Scrolls containing binary curves
Marco Franciosi
2020-01-01
Abstract
We study families of scrolls containing a given rational curve and families of rational curves contained in a fixed scroll via a stratification in terms of the degree of the induced map onto P1 and we prove that there is no rational normal scroll of minimal degree and of dimension ≤ n/2 containing a general binary curve in Pn.File in questo prodotto:
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