# Derived geometry of the first formal neighborhood of a smooth analytic cycle

Abstract : If $X$ is a smooth scheme of characteristic zero or a complex analytic manifold, and $S$ is a locally split infinitesimal thickening of $X$, we compute explicitly the derived self-intersection of $X$ in $S$.
Keywords :
Type de document :
Pré-publication, Document de travail
Article completely rewritten. 2015
Domaine :

https://hal.archives-ouvertes.fr/hal-01301460
Contributeur : Aigle I2m <>
Soumis le : mardi 12 avril 2016 - 11:41:51
Dernière modification le : jeudi 18 janvier 2018 - 01:33:02

### Identifiants

• HAL Id : hal-01301460, version 1
• ARXIV : 1505.04414

### Citation

Julien Grivaux. Derived geometry of the first formal neighborhood of a smooth analytic cycle. Article completely rewritten. 2015. 〈hal-01301460〉

### Métriques

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