A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps

作者：Iacono Donatella^*

来源：Canadian Mathematical Bulletin, 2011, 54(3): 472-486.

DOI：10.4153/CMB-2011-012-3

• semiregularity map
• obstruction theory
• functors of Artin rings
• differential graded Lie algebras

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

• 出版日期2011-9