On the number of moduli of plane sextics with six cusps

dc.creatorGalati, Concettina
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:54:34Z
dc.date.available2026-07-07T07:54:34Z
dc.descriptionLet S be the variety of irreducible sextics with six cusps as singularities. Let W be one of irreducible components of W. Denoting by M_4 the space of moduli of smooth curves of genus 4, the moduli map of W is the rational map from W to M_4 sending the general point of W, corresponding to a plane curve D, to the point of M_4 parametrizing the normalization curve of D. The number of moduli of W is, by definition the dimension of the image of W with respect to the moduli map. We know that this number is at most equal to seven. In this paper we prove that both irreducible components of S have number of moduli exactly equal to seven.
dc.description9 pagine
dc.identifierhttps://arxiv.org/abs/0704.0622
dc.identifierhttp://arxiv.org/abs/0704.0622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126658
dc.subjectAlgebraic Geometry
dc.subject14H15; 14H10; 14B05
dc.titleOn the number of moduli of plane sextics with six cusps
dc.typetext

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