Clifford index for reduced curves

We extend the notion of Clifford index to reduced curves with planar singularities by considering rank 1 torsion-free sheaves. We investigate the behaviour of the Clifford index with respect to the combinatorial properties of the curve, and we show that Green’s conjecture holds for certain classes o...

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Bibliographic Details
Published in:Annali di matematica pura ed applicata 2019-12, Vol.198 (6), p.2167-2181
Main Author: Franciosi, Marco
Format: Article
Language:English
Subjects:
Combinatorial analysis
Mathematics
Mathematics and Statistics
Sheaves
Singularity (mathematics)
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Summary:We extend the notion of Clifford index to reduced curves with planar singularities by considering rank 1 torsion-free sheaves. We investigate the behaviour of the Clifford index with respect to the combinatorial properties of the curve, and we show that Green’s conjecture holds for certain classes of curves given by the union of two irreducible components.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-019-00860-x