Modules homotopiques (Homotopy modules)
Fr\'ed\'eric D\'eglise (LAGA)
TL;DR
This paper improves the proof of the coincidence between the Gysin morphism in motivic cohomology and the classical pushout on Chow groups, clarifying their relationship in algebraic geometry.
Contribution
It provides a refined proof establishing the equivalence of Gysin morphism and pushout in motivic cohomology and Chow groups.
Findings
Gysin morphism coincides with pushout on Chow groups
Improved proof techniques for motivic cohomology
Clarification of morphism relationships in algebraic geometry
Abstract
The proof of the coincidence of the Gysin morphism in motivic cohomology and the usual pushout on Chow groups has been improved (see Lemma 3.3 and Proposition 3.11)
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory