Rings of definition of smooth and proper dg-algebras
Algebraic Topology
2010-06-02 v3 Quantum Algebra
Abstract
This is a companion paper to math.AT/0609762. For a filtered colimit of commutative rings k=colim k_i, we prove that the homotopy theory of smooth and proper dg-algebras over k is the colimit of the homotopy theories of smooth and proper dg-algebras over k_i. As a consequence, we deduce that any smooth and proper dg-algebra can be defined over a commutative Z-algebra of finite type.
Cite
@article{arxiv.math/0611546,
title = {Rings of definition of smooth and proper dg-algebras},
author = {B. Toen},
journal= {arXiv preprint arXiv:math/0611546},
year = {2010}
}
Comments
French, 8 pages