Nodal curves with general moduli on K3 surfaces

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dc.creatorFlamini, Flaminio
dc.creatorKnutsen, Andreas L.
dc.creatorPacienza, Gianluca
dc.creatorSernesi, Edoardo
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:28Z
dc.date.available2026-07-07T08:13:28Z
dc.descriptionWe investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a general genus g curve C is the normalization of a d-nodal curve X sitting on a primitively polarized K3 surface S of degree 2p-2, for p any integer between 3 and 11 and g = p - d between 2 and p. The proof is based on a local deformation-theoretic analysis of the map from the stack of pairs (S,X) to the moduli space of curves of genus g that associates to X the isomorphism class [C] of its normalization.
dc.description12 pages. Submitted preprint
dc.identifierhttps://arxiv.org/abs/0707.0157
dc.identifierhttp://arxiv.org/abs/0707.0157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132777
dc.subjectAlgebraic Geometry
dc.subject14H10, 14H51, 14J28. Secondary: 14C05, 14D15
dc.titleNodal curves with general moduli on K3 surfaces
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