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Archiv der Mathematik

, Volume 112, Issue 5, pp 489–495 | Cite as

On curves on rational surface scrolls

  • Gerriet MartensEmail author
Article
  • 39 Downloads

Abstract

For a smooth curve C in \({{\mathbb {P}}}^{r_0}\) lying on a rational surface scroll, we try to identify those complete and base point free linear series of small degree which are not obtainable just by projection from C.

Keywords

Linear systems Gonality Rational scrolls 

Mathematics Subject Classification

14H45 Secondary 14H51 

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Notes

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department MathematikUniv. Erlangen-NürnbergErlangenGermany

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