RT Journal Article
T1 Moduli spaces of coherent systems of small slope on algebraic curves.
A1 Bradlow, S.B.
A1 García Prada, O.
A1 Mercat, V.
A1 Muñoz, Vicente
AB Let C be an algebraic curve of genus g ≥ 2. A coherent system on C consists of a pair (E, V ), where E is an algebraic vector bundle over C of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent system depends on a parameter α. We study the geometry of the moduli space of coherent systems for 0 < d ≤ 2n. We show that these spacesare irreducible whenever they are non-empty and obtain necessary and sufficient conditions for non-emptiness.
PB Taylor & Francis
SN 0092-7872
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/43762
UL https://hdl.handle.net/20.500.14352/43762
LA eng
NO Vector Bundles on
NO Royal Society of London for an International
NO National Science Foundation
NO MEC
NO NSF
NO CIMAT
DS Docta Complutense
RD 12 may 2025