Geodesic
A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 472-486

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DOI

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.
DOI : 10.4153/CMB-2011-012-3
Mots-clés : 13D10, 14D15, 14B10, semiregularity map, obstruction theory, functors of Artin rings, differential graded Lie algebras 
Iacono, Donatella. A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 472-486. doi: 10.4153/CMB-2011-012-3
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     author = {Iacono, Donatella},
     title = {A {Semiregularity} {Map} {Annihilating} {Obstructions} to {Deforming} {Holomorphic} {Maps}},
     journal = {Canadian mathematical bulletin},
     pages = {472--486},
     year = {2011},
     volume = {54},
     number = {3},
     doi = {10.4153/CMB-2011-012-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-012-3/}
}
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