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:
2013
deformation theory; dg-schemes; differential graded lie algebras; local cohomology; obstruction theory; semiregularity map
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/512849
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