Faisceaux coh\'erents sur les courbes multiples
Algebraic Geometry
2011-04-28 v4
Abstract
Multiple primitive curves have been defined and studied by A. Banica and O. Forster. We introduce new invariants for coherent sheaves on these curves and define quasi locally free sheaves, which play the same role as locally free sheaves on smooth varieties. A more detailed study of torsion free sheaves is given for primitive curves of multiplicity 2.
Cite
@article{arxiv.math/0402387,
title = {Faisceaux coh\'erents sur les courbes multiples},
author = {Jean-Marc Drézet},
journal= {arXiv preprint arXiv:math/0402387},
year = {2011}
}
Comments
45 pages - Added two sections removed prop. 8.2.1 (incorrect proof) added a supplementary necessary hypothesis in 3.1.5, 3.2, 3.3