Classification of semistable sheaves on a rational curve with one node

Details Classification of semistable sheaves on a rational curve with one node Classification of semistable sheaves on a rational curve with one node

2004-10-06

arxiv.org/abs/math/0410190v2

Mathematics

Algebraic Geometry

13 pages. The paper is reorganized

Scientific paper

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.

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