Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665721 | Advances in Mathematics | 2014 | 33 Pages |
Abstract
Let i:X↪Yi:X↪Y be a closed embedding of smooth algebraic varieties. Denote by N the normal bundle of X in Y . The present paper contains two constructions of certain Lie structure on the shifted normal bundle N[−1]N[−1] encoding the information of the formal neighborhood of X in Y. We also present a few applications of these Lie theoretic constructions in understanding the algebraic geometry of embeddings.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Damien Calaque, Andrei Căldăraru, Junwu Tu,