Boundary motive, relative motives and extensions of motives

Abstract

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.

46 pages; final version

References in corpus (2)

• On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties
• The boundary motive: definition and basic properties

Cited by in corpus (3)

• On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties
• On the interior motive of certain Shimura varieties : the case of Picard varieties
• Degeneration of Hodge structures over Picard modular surfaces