Local structure of hyperkaehler singularities in O'Grady's examples

Simple item page
dc.creatorKaledin, D.
dc.creatorLehn, M.
dc.date2004-05-29
dc.date2007-03-11
dc.date.accessioned2026-07-07T07:50:59Z
dc.date.available2026-07-07T07:50:59Z
dc.descriptionWe study the local structure of the singularity in the moduli space of sheaves on a K3 surface which has been resolved by K O'Grady in his construction of new examples of hyperkaehler manifolds. In particular, we identify the singularity with the closure of a certain nilpotent orbit in the coadjoint representation of the group $Sp(4)$. We also prove that the moduli spaces for some other sets of numerical parameters do not admit a smooth symplectic resolution of singularities.
dc.description28 pages, LaTeX2e. Final version, to appear in MMJ
dc.identifierhttps://arxiv.org/abs/math/0405575
dc.identifierhttp://arxiv.org/abs/math/0405575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125357
dc.subjectAlgebraic Geometry
dc.titleLocal structure of hyperkaehler singularities in O'Grady's examples
dc.typetext

Files

Collections

arXiv