Abstract
A genus g graph curve in the sense of Bayer and Eisenbud is a genus g stable curve (hence nodal) with 2g − 2 irreducible components, each of then smooth and rational and intersecting exactly 3 other components. Here, we study the existence of spanned or very ample non-special line bundles on X whose restriction to each irreducible component of X has degree 1.
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E. Ballico was partially supported by MIUR and GNSAGA of INdAM (Italy).