Around the Gysin triangle I - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2008

Around the Gysin triangle I

Résumé

We study the Gysin triangle in the triangulated category of mixed motives over a perfect field defined by Voevodsky. This study leads to the definition of the Gysin morphism of a projective morphism between smooth schemes, which in turn gives duality for motives of smooth projective schemes. We also define a motivic version of the coniveau spectral sequence and compute explicitly its differentials obtaining formulas analog to that of Quillen in K-theory. This computation is used to extend works of Bloch-Ogus on the coniveau filtration to the case of rigid cohomology - and more generally to the case of any mixed Weil cohomology theory in the sense introduced by D.C.Cisinski and the author.
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Dates et versions

hal-00273447 , version 1 (15-04-2008)
hal-00273447 , version 2 (17-05-2011)

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Citer

Frédéric Déglise. Around the Gysin triangle I. 2008. ⟨hal-00273447v1⟩
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