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A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps

Published online by Cambridge University Press:  20 November 2018

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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2011

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