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 9 abr 2025