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Local moduli spaces and Kuranishi maps

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Abstract

 We explain, in a non technical way, several general methods for constructing semi-universal deformations, especially by Kuranshi maps. Moreover, we give (standard) criteria of universality and smoothness of the semi-universal deformation, discuss the existence of operations on the base germ and describe intrinsically the Massey products.

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Received: 27 November 2001 / Revised version: 23 September 2002 Published online: 24 January 2003

Mathematics Subject Classification (2000): 32 G 13, 14 A 22, 14 B 12, 22 E 65

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Kosarew, S. Local moduli spaces and Kuranishi maps. Manuscripta Math. 110, 237–249 (2003). https://doi.org/10.1007/s00229-002-0337-1

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  • DOI: https://doi.org/10.1007/s00229-002-0337-1

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