We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that modules have multiply periodic resolutions.
Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban
Christophe Ballif, Alessandro Francesco Aldo Virtuani, Andrew Wayne Fairbrother, Ebrar Özkalay