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-Tsygan calculus on the de Rham complex of DG-schemes. (C) 2012 Elsevier Inc. All rights reserved:
Semiregularity and obstructions of complete intersections / Donatella, Iacono; Manetti, Marco. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 235:(2013), pp. 92-125. [10.1016/j.aim.2012.11.011]
Semiregularity and obstructions of complete intersections
MANETTI, Marco
2013
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-Tsygan calculus on the de Rham complex of DG-schemes. (C) 2012 Elsevier Inc. All rights reserved:File allegati a questo prodotto
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