Talk:Kodaira–Spencer map

Latest comment: 4 years ago by Wundzer in topic Todo

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 (talkcontribs) 18:56, 27 April 2020 (UTC)Reply
  • 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 (talkcontribs) 04:17, 29 April 2020 (UTC)Reply
  • 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 (talkcontribs) 19:56, 29 April 2020 (UTC)Reply