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Deformations of functions and F-manifolds

By Ignacio De Gregorio


We study deformations of functions on isolated singularities. A unified proof of the equality of Milnor and Tjurina numbers for functions on isolated complete intersections singularities and space curves is given. As a consequence, the base space of their miniversal deformations is endowed with the structure of an $F$-manifold, and we can prove a conjecture of V. Goryunov, stating that the critical values of the miniversal unfolding of a function on a space curve are generically local coordinates on the base space of the deformation

Topics: QA
Publisher: Cambridge University Press
Year: 2006
OAI identifier: oai:wrap.warwick.ac.uk:693

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