On Clifford's Theorem for Rank-3 Bundles

  title={On Clifford's Theorem for Rank-3 Bundles},
  author={H. Lange and P. E. Newstead},
In this paper we obtain bounds on h 0 (E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g ≥ 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s 1 (E), s 2 (E). We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2. 

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-7 of 7 references

Leprobì eme de Brill-Noether pour les fibrés stables de petite pente

  • V Mercat
  • J. Reine Angew. Math
  • 1999

Bounding sections of bundles on curves, London Math

  • E Arrondo, I Sols
  • Soc. Lecture Notes Series
  • 1989

E-mail address: newstead@liv.ac.uk

  • E-mail address: newstead@liv.ac.uk

Germany E-mail address: lange@mi.uni-erlangen

  • D Erlangen
  • Germany E-mail address: lange@mi.uni-erlangen

Mathematisches Institut

  • Mathematisches Institut

Similar Papers

Loading similar papers…