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Type: Artigo de Periódico
Title: Curves With Canonical Models On Scrolls
Author: Lara
D; Marchesi
S; Martins
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.
Subject: Non-gorenstein Curve
Canonical Model
Trigonal Non-gorenstein Curve
Rights: fechado
Identifier DOI: 10.1142/S0129167X16500452
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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