Space curves with the expected postulation |
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Authors: | T Le Tat |
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Institution: | Mathematics section, The Abdus Salam ICTP, Strada Costiera 11, 34014 Trieste, Italy |
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Abstract: | The postulation of a space curve is a classifying invariant which computes for any integer n the dimension of the family of surfaces of degree n containing the curve. We prove that for any integers d and g satisfying d−3?g?2d−9, there exists a smooth connected curve of degree d and genus g with the minimal postulation expected by the Riemann-Roch theorem. |
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Keywords: | 14H50 14H10 14D15 14N05 |
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