Reconstructing pluricanonical embeddings of general k-gonal curves via odd theta-characteristics |
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| Authors: | Edoardo Ballico Claudio Fontanari |
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| Institution: | (1) Università di Trento, Dipartimento di Matematica, Via Sommarive, 14, 38050 Povo, Italy;(2) Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy |
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| Abstract: | Abstract Here we investigate r-canonical embeddings of general k-gonal curves of genus g from the point of view of Caporaso–Sernesi’s reconstruction procedure via odd theta-characteristics.
Keywords: Theta-characteristic, general k-gonal curve, trigonal curve, pluricanonical embedding, Hilbert scheme
Mathematics Subject Classification (2000): 14H50, 14N05 |
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