Cohomology and Obstructions III: A variational form of the generalized Hodge conjecture on K-trivial threefolds

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dc.creatorClemens, Herbert
dc.date1998-09-22
dc.date2002-06-21
dc.date.accessioned2026-07-07T05:26:07Z
dc.date.available2026-07-07T05:26:07Z
dc.descriptionThis paper studies the Hilbert scheme of a curve on a complete-intersection K-trivial threefold, in the case in which the curve is unobstructed in the ambient variety in which the threefold lives. The basic result is that the obstruction theory of the curve is completely determined by the scheme-theoretic Abel-Jacobi mapping. Several applications of this fact are given.
dc.description23 pages, latex2e file, correction of previous version entitled "Cohomology and Obstructions II: Curves on Calabi-Yau threefolds
dc.identifierhttps://arxiv.org/abs/math/9809127
dc.identifierhttp://arxiv.org/abs/math/9809127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77431
dc.subjectAlgebraic Geometry
dc.subject14D15
dc.titleCohomology and Obstructions III: A variational form of the generalized Hodge conjecture on K-trivial threefolds
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