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arXiv · 1112.0425

Semiregularity and obstructions of complete intersections

Donatella Iacono·Marco Manetti
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Abstract

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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Donatella Iacono, Marco Manetti. 2012-11-09. Semiregularity and obstructions of complete intersections. https://doi.org/10.1016/j.aim.2012.11.011

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