On Clifford's theorem for rank-3 bundles.

Lange, Herbert, and Newstead, Peter E.. "On Clifford's theorem for rank-3 bundles.." Revista Matemática Iberoamericana 22.1 (2006): 287-304. <http://eudml.org/doc/41973>.

@article{Lange2006,
abstract = {In this paper we obtain bounds on h0(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 s1(E), s2(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.},
author = {Lange, Herbert, Newstead, Peter E.},
journal = {Revista Matemática Iberoamericana},
keywords = {Curvas algebraicas; Haces vectoriales; Acotación; smooth curves; vector bundles; sections},
language = {eng},
number = {1},
pages = {287-304},
title = {On Clifford's theorem for rank-3 bundles.},
url = {http://eudml.org/doc/41973},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Lange, Herbert
AU - Newstead, Peter E.
TI - On Clifford's theorem for rank-3 bundles.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 1
SP - 287
EP - 304
AB - In this paper we obtain bounds on h0(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 s1(E), s2(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.
LA - eng
KW - Curvas algebraicas; Haces vectoriales; Acotación; smooth curves; vector bundles; sections
UR - http://eudml.org/doc/41973
ER -