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- Série 6 : Tome 33 (2024)

- no. 4

- p. 1019-1057

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In this paper, we formally define k-shifted contact structures on derived (Artin) stacks and study their local properties in the context of derived algebraic geometry. In this regard, for k-shifted contact derived 𝕂-schemes, we develop a Darboux-like theorem and formulate the notion of symplectification.

Dans cet article, nous définissons formellement des structures contacts k-décalées sur des champs (d’Artin) dérivés et étudions leurs propriétés locales dans le contexte de la géométrie algébrique dérivée. À cet égard, pour les 𝕂-schémas dérivés contacts k-décalés, nous développons un théorème de type Darboux et formulons la notion de symplectification.

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Kadri İlker Berktav 1

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