arXiv 1306.52602013-06math.AGmath.QA

On the Lie algebroid of a derived self-intersection

Damien Calaque, Andrei Caldararu, Junwu Tu

备注：: final version
发表信息：: Advances in Mathematics 262 (2014), 751--783
DOI：: 10.1016/j.aim.2014.06.002

英文摘要：

Let $i:X\hookrightarrow Y$ be a closed embedding of smooth algebraic varieties. Denote by $N$ the normal bundle of $X$ in $Y$. We describe the construction of two Lie-type structures on the shifted bundle $N[-1]$ which encode the information of the formal neighborhood of $X$ inside $Y$. We also present applications of classical Lie theoretic constructions (universal enveloping algebra, Chevalley-Eilenberg complex) to the understanding of the geometry of embeddings.

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