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Mathematics > Algebraic Geometry

arXiv:1805.10805 (math)
[Submitted on 28 May 2018 (v1), last revised 21 Sep 2018 (this version, v2)]

Title:Clifford index for reduced curves

Authors:Marco Franciosi
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Abstract: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.
Comments: Prop. 3.7, prop. 4.2, Thm. 4.4 changed
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14H20, 14C20, 14H51 14H20, 14C20, 14H51 14H20, 14C20, 14H51
Cite as: arXiv:1805.10805 [math.AG]
  (or arXiv:1805.10805v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.10805

Submission history

From: Marco Franciosi [view email]
[v1] Mon, 28 May 2018 08:14:28 UTC (19 KB)
[v2] Fri, 21 Sep 2018 10:30:38 UTC (19 KB)
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