Title: Quasi-Isomorphisms of Commutative DG Rings and Divided Power Structures 

Author: Amnon Yekutieli

Publication status: 

• Eprint  https://arxiv.org/abs/2305.06255

Abstract: 

We prove that a quasi-isomorphism f : A → B between commutative DG rings, where B admits a divided power structure, can be factored as f = g ◦ e, where e : A → C is a split injective quasi-isomorphism, and g : C → B is a surjective quasi-isomorphism.

This result is used in our work on a DG approach to the cotangent complex, and our work on the derived category of commutative DG rings.

updated 11 May 2023