Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-29T05:54:38.713Z Has data issue: false hasContentIssue false
  • English
  • Français

DEFORMATIONS OF FUNCTIONS AND $F$-MANIFOLDS

Published online by Cambridge University Press:  19 December 2006

IGNACIO DE GREGORIO
IGNACIO DE GREGORIO
Affiliation:
University of Warwick, Mathematics Institute, Coventry CV4 7AL, United [email protected]
Get access

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.

Keywords

32S05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 6 , December 2006 , pp. 966 - 978
Copyright
The London Mathematical Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Partially suppported by EPSRC grant (00801853), EU mobility project OMATS (HPMT-CT-2000-00104) and University of Warwick Research Fellowship Scheme.