Linear series on ribbons
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- by Dawei Chen PDF
- Proc. Amer. Math. Soc. 138 (2010), 3797-3805 Request permission
Abstract:
A ribbon is a double structure on $\mathbb P^{1}$. The geometry of a ribbon is closely related to that of a smooth curve. In this paper 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.References
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Additional Information
- Dawei Chen
- Affiliation: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607
- MR Author ID: 848983
- Email: dwchen@math.uic.edu
- Received by editor(s): April 6, 2009
- Received by editor(s) in revised form: January 24, 2010
- Published electronically: May 18, 2010
- Communicated by: Ted Chinburg
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 3797-3805
- MSC (2010): Primary 14H51, 14M12, 15A03
- DOI: https://doi.org/10.1090/S0002-9939-2010-10405-7
- MathSciNet review: 2679602