Semiregularity and obstructions of complete intersections
Algebraic Geometry
2013-11-11 v4 Quantum Algebra
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.
Cite
@article{arxiv.1112.0425,
title = {Semiregularity and obstructions of complete intersections},
author = {Donatella Iacono and Marco Manetti},
journal= {arXiv preprint arXiv:1112.0425},
year = {2013}
}
Comments
V2 typos corrected, 30 pages. V3 typos and references updated