Trianalytic subvarieties of the Hilbert scheme of points on a K3 surface

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dc.creatorVerbitsky, Misha
dc.date1997-05-02
dc.date1997-11-11
dc.date.accessioned2026-07-07T09:01:51Z
dc.date.available2026-07-07T09:01:51Z
dc.descriptionLet X be a hyperkaehler manifold. Trianalytic subvarieties of X are subvarieties which are complex analytic with respect to all complex structures induced by the hyperkaehler structure. Given a K3 surface M, the Hilbert scheme classifying zero-dimensional subschemes of M admits a hyperkaehler structure. We show that for M generic, there are no trianalytic subvarieties of the Hilbert scheme. This implies that a generic deformation of the Hilbert scheme of K3 has no complex subvarieties.
dc.descriptionArguments improved, errors corrected, rigor added. Sections 8 and 9 were totally rewritten, Tex-type: LaTeX 2e
dc.identifierhttps://arxiv.org/abs/alg-geom/9705004
dc.identifierhttp://arxiv.org/abs/alg-geom/9705004
dc.identifierGeom. Funct. Anal. 8 (1998), no. 4, 732--782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148425
dc.subjectAlgebraic Geometry
dc.titleTrianalytic subvarieties of the Hilbert scheme of points on a K3 surface
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