D-bar Spark Theory and Deligne Cohomology

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dc.creatorHao, Ning
dc.date2008-08-12
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:08:31Z
dc.date.available2026-07-07T12:08:31Z
dc.descriptionWe study the Harvey-Lawson spark characters of level p on complex manifolds. Presenting Deligne cohomology classes by sparks of level $p$, we give an explicit analytic product formula for Deligne cohomology. We also define refined Chern classes in Deligne cohomology for holomorphic vector bundles over complex manifolds. Applications to algebraic cycles are given. A Bott-type vanishing theorem in Deligne cohomology for holomorphic foliations is established. A general construction of Nadel-type invariants is given together with a new proof of Nadel's conjecture.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0808.1741
dc.identifierhttp://arxiv.org/abs/0808.1741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209346
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14F43; 53C65
dc.titleD-bar Spark Theory and Deligne Cohomology
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