Grothendieck standard conjectures, morphic cohomology and Hodge index theorem

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Using 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.
17 pages. Some results are added and simplified

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Algebraic Geometry, 14C25; 14C30

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http://salesiana.dossiersoluciones.com/handle/123456789/139197

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512232
 http://arxiv.org/abs/math/0512232

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arXiv