Classification of semistable sheaves on a rational curve with one node

We classify semistable 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 (2001) [3], where the sheaves are described in terms of certain combinatorial data. We translate the condition of semistability into this combinatorial language and solve the so obtained problem.