A semiregularity map annihilating obstructions to deforming holomorphic maps

Mathematics – Algebraic Geometry

Scientific paper

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14 pages, minor changes, revised introduction; scheduled to appear in Canadian Math. Bull. Issue 54/3 (September, 2011)

Scientific paper

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

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