2007/12/10 by Frédéric Déglise, F. Déglise, Déglise, F.
Mathematics · #14F42 #14F43 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.AT #msc:14F42 #msc:14F43
paper · pdf · doi:10.48550/arxiv.0712.1604
The major change is a correction of the formula involving multiplicities with a correction term due to the formal group law (i.e. ramification formulas 4.26). Other changes are made according to the report of the referee for Documenta Mathematica, thanks go to him. To appear in Documenta Mathematica
openalex publication_date 2007/12/10 · arxiv created 2008/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
We study the construction and properties of the Gysin triangle in an axiomatic framework which covers triangulated mixed motives and MGl-modules over an arbitrary base S. This allows to define the Gysin morphism associated to a projective morphism between smooth S-schemes and prove duality for projective smooth S-schemes. As part of the construction, cobordism classes are considered and we give a proof of the Myschenko theorem generalized in our context - this in fact gives another proof of the latter theorem in classical stable homotopy through complex realization. Finally, these constructions apply to rigid cohomology through the notion of a mixed Weil theory introduced by D.-C. Cisinski and the author in another work.