Grothendieck standard conjectures, morphic cohomology and Hodge index theorem

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dc.creatorTeh, Jyh-Haur
dc.date2005-12-12
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:33:38Z
dc.date.available2026-07-07T08:33:38Z
dc.descriptionUsing morphic cohomology, we produce a sequence of conjectures, called morphic conjectures, which terminates at the Grothendieck standard conjecture A. A refinement of Hodge structures is given, and with the assumption of morphic conjectures, we prove a Hodge index theorem. We answer a question of Friedlander and Lawson by assuming the Grothendieck standard conjecture B and prove that the topological filtration from morphic cohomology is equal to the Grothendieck arithmetic filtration for some cases.
dc.description17 pages. Some results are added and simplified
dc.identifierhttps://arxiv.org/abs/math/0512232
dc.identifierhttp://arxiv.org/abs/math/0512232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139197
dc.subjectAlgebraic Geometry
dc.subject14C25; 14C30
dc.titleGrothendieck standard conjectures, morphic cohomology and Hodge index theorem
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