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A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps

Published online by Cambridge University Press:  20 November 2018

Donatella Iacono
Donatella Iacono*
Affiliation:
Dipartimento di Matematica “G. Castelnuovo”, Sapienza Università di Roma, Italy e-mail: iacono@dm.uniba.it
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Abstract

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We study infinitesimal deformations of holomorphic maps of compact, complex, Kähler manifolds. In particular, we describe a generalization of Bloch's semiregularity map that annihilates obstructions to deform holomorphic maps with fixed codomain.

Keywords

13D1014D1514B10semiregularity mapobstruction theoryfunctors of Artin ringsdifferential graded Lie algebras
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 3 , 01 September 2011 , pp. 472 - 486
Copyright
Copyright © Canadian Mathematical Society 2011

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