Gaussian maps of plane curves with nine singular points |
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Authors: | Edoardo Sernesi |
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Affiliation: | 1.Dipartimento di Matematica e Fisica,Università Roma Tre,Rome,Italy |
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Abstract: | We consider nonsingular curves which are the normalization of plane curves with nine ordinary singular points, viewing them as embedded in the blow-up X of the projective plane along their singular points. For a large class of such curves we show that the gaussian map relative to the canonical line bundle has corank one. The proof makes essential use of the geometry of X. |
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