Let C be a 2-connected projective curve either reduced with planar singularities or contained in a smooth algebraic surface and let S be a subcanonical cluster (that is, a zero-dimensional scheme such that the space H0(C, ℐS KC) contains a generically invertible section). Under some general assumptions on S or C, we show that h0(C, ℐS KC)≤pa(C)−½ deg (S) and if equality holds then either S is trivial or C is honestly hyperelliptic or 3-disconnected. As a corollary, we give a generalization of Clifford's theorem for reduced curves with planar singularities.
|Autori:||Franciosi, Marco; E., Tenni|
|Titolo:||On Clifford's theorem for singular curves|
|Anno del prodotto:||2014|
|Digital Object Identifier (DOI):||10.1112/plms/pdt019|
|Appare nelle tipologie:||1.1 Articolo in rivista|