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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 ISSN 0024-6093 .
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Official URL: http://dx.doi.org/10.1112/S0024609306018935
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 (Creative Commons) | ||||
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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