Local duality for representations of finite group schemes

Benson D, Iyengar SB, Krause H, Pevtsova J. Local duality for representations of finite group schemes. Compositio Mathematica. 2019;155(2):424-453.A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander-Reiten triangles for the p-local and p-torsion subcategories of the stable category, for each homogeneous prime ideal p in the cohomology ring of the group scheme