Boundary motive, relative motives and extensions of motives

Jörg Wildeshaus (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

We explain the role of the boundary motive in the construction of certain Chow motives, and of extensions of Chow motives. Our two main examples concern proper, singular surfaces and fibre products of a universal elliptic curve.

Domaines: Géométrie algébrique [math.AG]; K-théorie et homologie [math.KT]

Jörg Wildeshaus. Boundary motive, relative motives and extensions of motives. Panoramas et synthèses, 2013, Autour des motifs, II (41), pp.143-185. ⟨hal-00472507⟩