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

Julien Grivaux

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

Julien Grivaux ^{1, 2}

1 IHES - Institut des Hautes Etudes Scientifiques

2 I2M - Institut de Mathématiques de Marseille

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 : smooth analytic cycle Hochschild-Kostant-Rosenberg isomorphism

Type de document :

Pré-publication, Document de travail

Article completely rewritten. 2015

Domaine :

Mathématiques [math] / Géométrie algébrique [math.AG]

Mathématiques [math] / Algèbre commutative [math.AC]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01301460
Contributeur : Aigle I2m <>
Soumis le : mardi 12 avril 2016 - 11:41:51
Dernière modification le : mardi 29 novembre 2016 - 14:46:43

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

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

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