Semiregularity and obstructions of complete intersections

Details Semiregularity and obstructions of complete intersections Semiregularity and obstructions of complete intersections

2011-12-02

arxiv.org/abs/1112.0425v3

Mathematics

Algebraic Geometry

typos corrected, 30 pages

Scientific paper

We prove that, on a smooth projective variety over an algebraically closed
field of characteristic 0, the semiregularity map annihilates every obstruction
to embedded deformations of a local complete intersection subvariety with
extendable normal bundle. The proof is based on the theory of L-infinity
algebras and Tamarkin-Tsigan calculus on the de Rham complex of DG-schemes.

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