Linear series on ribbons
classification
🧮 math.AG
math.RA
keywords
ribbonlinearribbonsseriesbrill-noetherbundlescliffordclosely
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A ribbon is a double structure on P^1. The geometry of a ribbon is closely related to that of a smooth curve. In this note we consider linear series on ribbons. Our main result is an explicit determinantal description for the locus W^{r}_{2n} of degree 2n line bundles with at least (r+1)-dimensional sections on a ribbon. We also discuss some results of Clifford and Brill-Noether type.
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