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|Type:||Artigo de Periódico|
|Title:||Curves With Canonical Models On Scrolls|
|Abstract:||Let C be an integral and projective curve whose canonical model C' lies on a rational normal scroll S of dimension n. We mainly study some properties on C, such as gonality and the kind of singularities, in the case where n = 2 and C is non-Gorenstein, and in the case where n = 3, the scroll S is smooth, and C' is a local complete intersection inside S. We also prove that the canonical model of a rational monomial curve with just one singular point lies on a surface scroll if and only if the gonality of the curve is at most 3, and that it lies on a threefold scroll if and only if the gonality is at most 4.|
Trigonal Non-gorenstein Curve
|Editor:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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