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Deformations of functions and F-manifolds

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De Gregorio, Ignacio (2006) Deformations of functions and F-manifolds. Bulletin of the London Mathematical Society, Vol.38 (No.6). pp. 966-978. doi:10.1112/S0024609306018935

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Official URL: http://dx.doi.org/10.1112/S0024609306018935

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Deformations of singularities, Frobenius manifolds, Complex manifolds, Manifolds (Mathematics)
Journal or Publication Title: Bulletin of the London Mathematical Society
Publisher: Cambridge University Press
ISSN: 0024-6093
Official Date: 2006
Dates:
DateEvent
2006Published
Volume: Vol.38
Number: No.6
Page Range: pp. 966-978
DOI: 10.1112/S0024609306018935
Status: Peer Reviewed
Access rights to Published version: Open Access
Funder: University of Warwick, Engineering and Physical Sciences Research Council (EPSRC), Oslo Mathematics Doctoral Training Site (OMATS)
Grant number: 00801853 (EPSRC), HPMT-CT-2000-00104 (OMATS)

Data sourced from Thomson Reuters' Web of Knowledge

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