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# 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 $S$.
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Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-01301460
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Submitted on : Tuesday, April 12, 2016 - 11:41:51 AM
Last modification on : Friday, October 22, 2021 - 3:29:19 AM

### Identifiers

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

### Citation

Julien Grivaux. Derived geometry of the first formal neighborhood of a smooth analytic cycle. 2015. ⟨hal-01301460⟩

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