The Stacks project

92.2 Examples of deformation problems

List of things that should go here:

  1. Deformations of schemes:

    1. The Rim-Schlessinger condition.

    2. Computing the tangent space.

    3. Computing the infinitesimal deformations.

    4. The deformation category of an affine hypersurface.

  2. Deformations of sheaves (for example fix $X/S$, a finite type point $s$ of $S$, and a quasi-coherent sheaf $\mathcal{F}_ s$ over $X_ s$).

  3. Deformations of algebraic spaces (very similar to deformations of schemes; maybe even easier?).

  4. Deformations of maps (eg morphisms between schemes; you can fix both or one of the target and/or source).

  5. Add more here.

Comments (0)

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Your email address will not be published.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).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.

In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 06LA. Beware of the difference between the letter 'O' and the digit '0'.