Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/319865
Type: Artigo
Title: Curves with canonical models on scrolls
Author: Lara, Danielle
Marchesi, Simone
Martins, Renato Vital
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.
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, an
Subject: Curvas
Singularidades (Matemática)
Curvas em superficie
Country: Singapura
Editor: World Scientific
Citation: International Journal Of Mathematics. WORLD SCIENTIFIC PUBL CO PTE LTD, n. 27, n. 5, p. .
Rights: fechado
Identifier DOI: 10.1142/S0129167X16500452
Address: https://www.worldscientific.com/doi/10.1142/S0129167X16500452
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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