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A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps

  Published:2011-02-16
 Printed: Sep 2011
  • Donatella Iacono,
    Dipartimento di Matematica "G. Castelnuovo", Sapienza Università di Roma, Italy
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Abstract

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: semiregularity map, obstruction theory, functors of Artin rings, differential graded Lie algebras semiregularity map, obstruction theory, functors of Artin rings, differential graded Lie algebras
MSC Classifications: 13D10, 14D15, 14B10 show english descriptions Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx]
Formal methods; deformations [See also 13D10, 14B07, 32Gxx]
Infinitesimal methods [See also 13D10]
13D10 - Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx]
14D15 - Formal methods; deformations [See also 13D10, 14B07, 32Gxx]
14B10 - Infinitesimal methods [See also 13D10]
 

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