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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