Rings of definition of smooth and proper dg-algebras

Details Rings of definition of smooth and proper dg-algebras Rings of definition of smooth and proper dg-algebras

2006-11-17

arxiv.org/abs/math/0611546v3

Mathematics

Algebraic Topology

French, 8 pages

Scientific paper

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.

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