2004/10/06 by Sergey Mozgovoy, Mozgovoy, Sergey
Mathematics · #14D20 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D20 #msc:14H60
paper · pdf · doi:10.48550/arxiv.math/0410190
13 pages. The paper is reorganized
arxiv created 2006/10/02 · arxiv updated 2009/12/01
We classify (semi)stable sheaves on a rational curve with one node. The results are based on the classification of indecomposable torsion-free sheaves due to Drozd and Greuel "Tame and wild projective curves and classification of vector bundles", where the sheaves are described in terms of certain combinatorial data. We translate the condition of (semi)stability into this combinatorial language and solve the so obtained problem.