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arXiv · 2111.02466

Interpolation of rational scrolls

Ziv Ran
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Abstract

We show in many cases that there exist rational scrolls which are balanced, i.e. they contain the expected number of general linear spaces as rulings. For example, there exist balanced scrolls of degree $mk+1$ and fibre dimension $k$ in $\P^{2k+1}$ for all $m\geq 1$.

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Ziv Ran. 2021-11-03. Interpolation of rational scrolls. https://arxiv.org/abs/2111.02466

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