Talk:Kodaira–Spencer map

Todo
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 relating Gauss-Manin connection and Kodaira-Spencer class.
 * 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 $$0 \to X \to \text{Spec}(k) \to \text{Spec}(k[\varepsilon])$$. 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)