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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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