3 papers
math.KT2005
Cohomology of bifunctors
Vincent Franjou, Eric M. Friedlander
We initiate the study of the cohomology of (strict polynomial) bifunctors by introducing the foundational formalism, establishing numerous properties in analogy with the cohomology…
math.RT2005
Strict polynomial functors and coherent functors
Vincent Franjou, Teimuraz Pirashvili
We build an explicit link between coherent functors in the sense of Auslander and strict polynomial functors in the sense of Friedlander and Suslin. Applications to functor cohomol…
math.CT2004
Comparison of Abelian categories recollements
Vincent Franjou, Teimuraz Pirashvili
We give a necessary and sufficient condition for a morphism between recollements of abelian categories to be an equivalence.