EnglishLet 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.
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http://hdl.handle.net/11568/215126| Autori interni: | FRANCIOSI, MARCO |
| Autori: | M. Franciosi;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 |
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