On the deformation theory of pair (X, E)

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dc.creatorLi, Si
dc.date2008-09-02
dc.date.accessioned2026-07-07T09:59:55Z
dc.date.available2026-07-07T09:59:55Z
dc.descriptionHuybrechts and Thomas recently constructed relative obstruction theory of objects of the derived category of coherent sheaves over smooth projective family. In this paper, we use this construction to obtain the absolute deformation-obstruction theory of the pair (X, E), with X smooth projective scheme and E perfect complex, and show that the obstruction theories for E, (X,E), and X fit into exact triangle as derived objects on the moduli space.
dc.description8 pages. Comments are wellcome
dc.identifierhttps://arxiv.org/abs/0809.0344
dc.identifierhttp://arxiv.org/abs/0809.0344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168200
dc.subjectAlgebraic Geometry
dc.subject14D20
dc.titleOn the deformation theory of pair (X, E)
dc.typetext

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