112.7 Deformation theory à la Schlessinger
We have a chapter on this material, see Formal Deformation Theory, Section 89.1. We have a chapter discussing examples of the general theory, see Deformation Problems, Section 92.1. We have a chapter, see Deformation Theory, Section 90.1 which discusses deformations of rings (and modules), deformations of ringed spaces (and sheaves of modules), deformations of ringed topoi (and sheaves of modules). In this chapter we use the naive cotangent complex to describe obstructions, first order deformations, and infinitesimal automorphisms. This material has found some applications to algebraicity of moduli stacks in later chapters. There is also a chapter discussing the full cotangent complex, see Cotangent, Section 91.1.
Post a comment
Your email address will not be published. Required fields are marked.
In your comment you can use Markdown and LaTeX style mathematics (enclose it like
$\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).
All contributions are licensed under the GNU Free Documentation License.
Comment #196 by Emmanuel Kowalski on
Comment #197 by Emmanuel Kowalski on
Comment #198 by Pieter Belmans on
Comment #203 by Johan on