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Todo
edit- Add discussion relating Gauss-Manin connection and Kodaira-Spencer class.
1. https://www.daniellitt.com/fall-2017-topics-in-algebraic-geometry-deformation-theory 2. https://people.math.umass.edu/~cattani/ICTP/cattani_vhs.pdf relates the period map with the Kodaira-Spencer map
- Add discussion mentioning the use of the Kodaira-Spencer classes in Serre-Tate theory https://link.springer.com/chapter/10.1007/BFb0090648 — Preceding unsigned comment added by Wundzer (talk • contribs) 18:56, 27 April 2020 (UTC)
- Add explanation for cotangent complex construction. Give deformation square, and use the triangle associated to . The comparison morphisms of cotangent complexes for a cartesian square gives the desired result. — Preceding unsigned comment added by Wundzer (talk • contribs) 04:17, 29 April 2020 (UTC)
- Discuss the dual map/ dual complex of [I/I^2 \xrightarrow{df\otimes 1} \Omega^1_{\mathbb{A}^n/\text{Spec}(k)}] — Preceding unsigned comment added by Wundzer (talk • contribs) 19:56, 29 April 2020 (UTC)
![{\displaystyle 0\to X\to {\text{Spec}}(k)\to {\text{Spec}}(k[\varepsilon ])}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c0de81e392270c82069d49632fe7310f59000322)