Trigonal non-Gorenstein curves

Martins, Renato Vidal

doi:10.1016/j.jpaa.2006.08.010

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Canonical Models On Surface Scrolls1

Ramification Points On Gorentein Curves1

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Cited by 4 publications

(2 citation statements)

References 15 publications

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“…where q = ⌈deg(X)/(N − 1)⌉. It can be read off from [M1,M2,RS,SV] that the canonical model of any trigonal curve lies on a (possibly degenerated) surface scroll. Actually, for Gorenstein curves, this characterizes trigonality.…”

Section: Canonical Models On Surface Scrollsmentioning

confidence: 99%

Curves with canonical models on scrolls

Lara¹,

Marchesi

Martins

2016

Int. J. Math.

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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 a rational monomial curve with just one singular point lies on a surface scroll if and only if its gonality is at most 3, and that it lies on a threefold scroll if and only if its gonality is at most 4.

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Section: Canonical Models On Surface Scrollsmentioning

confidence: 99%

Curves with canonical models on scrolls

Lara¹,

Marchesi

Martins

2016

Int. J. Math.

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“…See e.g. [41] and references therein. As for Gorenstein curves we should mention the clever way to deform monomial curves due to Contiero and Stöhr [2] to compute dimension of moduli spaces of curves possessing a Weierstrass point with prescribed numerical semigroup.…”

Section: Ramification Points On Gorentein Curvesmentioning

confidence: 99%

Jet Bundles on Gorenstein Curves and Applications

Gatto¹,

Ricolfi

2020

jsing

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In the last twenty years a number of papers appeared aiming to construct locally free replacements of the sheaf of principal parts for families of Gorenstein curves. The main goal of this survey is to present to the widest possible mathematical audience a catalogue of such constructions, discussing the related literature and reporting on a few applications to classical problems in Enumerative Algebraic Geometry.

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Gonality of non-Gorenstein curves of genus five

Feital

Martins

2014

Bull Braz Math Soc, New Series

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Trigonal non-Gorenstein curves

Cited by 4 publications

References 15 publications

Curves with canonical models on scrolls

Curves with canonical models on scrolls

Jet Bundles on Gorenstein Curves and Applications

Gonality of non-Gorenstein curves of genus five

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