In mathematics the **cotangent complex** is a roughly a universal linearization of a morphism of geometric or algebraic objects. Cotangent complexes were originally defined in special cases by a number of authors. Luc Illusie, Daniel Quillen, and M. André independently came up with a definition that works in all cases.

Read more about Cotangent Complex: Motivation, Early Work On Cotangent Complexes, The Definition of The Cotangent Complex, Examples

### Other articles related to "cotangent complex":

**Cotangent Complex**- Examples

... Then the

**cotangent complex**is ΩX/S ... We can take the resolution of A to be the identity map, and then it is clear that the

**cotangent complex**is the same as the Kähler differentials ... the exact triangle corresponding to the morphisms X → Y → S, we may determine the

**cotangent complex**LX/Y ...

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“Power is not an institution, and not a structure; neither is it a certain strength we are endowed with; it is the name that one attributes to a *complex* strategical situation in a particular society.”

—Michel Foucault (1926–1984)

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