Colocalising subcategories of modules over finite group schemes

Benson D, Iyengar SB, Krause H, Pevtsova J. Colocalising subcategories of modules over finite group schemes. Annals of K-Theory. 2017;2(3):387-408.The Hom closed colocalising subcategories of the stable module category of a finite group scheme are classified. This complements the classification of the tensor closed localising subcategories in our previous work. Both classifications involve pi-points in the sense of Friedlander and Pevtsova. We identify for each pi-point an endofinite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory